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Finding the Third Proportional to 129,971,810 and 285,454,228

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Solution

The third proportional to 129,971,810 and 285,454,228 is: 626,936,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,971,810 : 285,454,228 = 285,454,228 : x
  2. Step 2: Convert to fraction form
    129,971,810/285,454,228 = 285,454,228/x
  3. Step 3: Cross multiply
    129,971,810x = 285,454,228 × 285,454,228
  4. Step 4: Simplify right side
    129,971,810x = 81,484,116,283,075,984
  5. Step 5: Solve for x
    x = 81,484,116,283,075,984/129,971,810
  6. Step 6: Final answer
    x = 626,936,843.33

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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.