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Finding the Third Proportional to 129,971,812 and 285,454,232

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Solution

The third proportional to 129,971,812 and 285,454,232 is: 626,936,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,971,812 : 285,454,232 = 285,454,232 : x
  2. Step 2: Convert to fraction form
    129,971,812/285,454,232 = 285,454,232/x
  3. Step 3: Cross multiply
    129,971,812x = 285,454,232 × 285,454,232
  4. Step 4: Simplify right side
    129,971,812x = 81,484,118,566,709,824
  5. Step 5: Solve for x
    x = 81,484,118,566,709,824/129,971,812
  6. Step 6: Final answer
    x = 626,936,851.25

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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.