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Finding the Third Proportional to 129,972,965 and 285,456,394

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Solution

The third proportional to 129,972,965 and 285,456,394 is: 626,940,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,972,965 : 285,456,394 = 285,456,394 : x
  2. Step 2: Convert to fraction form
    129,972,965/285,456,394 = 285,456,394/x
  3. Step 3: Cross multiply
    129,972,965x = 285,456,394 × 285,456,394
  4. Step 4: Simplify right side
    129,972,965x = 81,485,352,875,483,232
  5. Step 5: Solve for x
    x = 81,485,352,875,483,232/129,972,965
  6. Step 6: Final answer
    x = 626,940,786.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.