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Finding the Third Proportional to 35,490 and 77,217

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Solution

The third proportional to 35,490 and 77,217 is: 168,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,490 : 77,217 = 77,217 : x
  2. Step 2: Convert to fraction form
    35,490/77,217 = 77,217/x
  3. Step 3: Cross multiply
    35,490x = 77,217 × 77,217
  4. Step 4: Simplify right side
    35,490x = 5,962,465,089
  5. Step 5: Solve for x
    x = 5,962,465,089/35,490
  6. Step 6: Final answer
    x = 168,004.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.