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Finding the Third Proportional to 70,952,720 and 152,980,406

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Solution

The third proportional to 70,952,720 and 152,980,406 is: 329,839,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952,720 : 152,980,406 = 152,980,406 : x
  2. Step 2: Convert to fraction form
    70,952,720/152,980,406 = 152,980,406/x
  3. Step 3: Cross multiply
    70,952,720x = 152,980,406 × 152,980,406
  4. Step 4: Simplify right side
    70,952,720x = 23,403,004,619,924,836
  5. Step 5: Solve for x
    x = 23,403,004,619,924,836/70,952,720
  6. Step 6: Final answer
    x = 329,839,428.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.