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Finding the Third Proportional to 138,725,084 and 288,926,815

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Solution

The third proportional to 138,725,084 and 288,926,815 is: 601,756,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,725,084 : 288,926,815 = 288,926,815 : x
  2. Step 2: Convert to fraction form
    138,725,084/288,926,815 = 288,926,815/x
  3. Step 3: Cross multiply
    138,725,084x = 288,926,815 × 288,926,815
  4. Step 4: Simplify right side
    138,725,084x = 83,478,704,426,044,224
  5. Step 5: Solve for x
    x = 83,478,704,426,044,224/138,725,084
  6. Step 6: Final answer
    x = 601,756,380.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.