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Finding the Third Proportional to 581,114,069,476 and 817,980,068,022

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Solution

The third proportional to 581,114,069,476 and 817,980,068,022 is: 1,151,394,238,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,114,069,476 : 817,980,068,022 = 817,980,068,022 : x
  2. Step 2: Convert to fraction form
    581,114,069,476/817,980,068,022 = 817,980,068,022/x
  3. Step 3: Cross multiply
    581,114,069,476x = 817,980,068,022 × 817,980,068,022
  4. Step 4: Simplify right side
    581,114,069,476x = 669,091,391,681,275,700,969,472
  5. Step 5: Solve for x
    x = 669,091,391,681,275,700,969,472/581,114,069,476
  6. Step 6: Final answer
    x = 1,151,394,238,801.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.