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Finding the Third Proportional to 138,837,578 and 288,436,780

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Solution

The third proportional to 138,837,578 and 288,436,780 is: 599,230,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,837,578 : 288,436,780 = 288,436,780 : x
  2. Step 2: Convert to fraction form
    138,837,578/288,436,780 = 288,436,780/x
  3. Step 3: Cross multiply
    138,837,578x = 288,436,780 × 288,436,780
  4. Step 4: Simplify right side
    138,837,578x = 83,195,776,056,768,400
  5. Step 5: Solve for x
    x = 83,195,776,056,768,400/138,837,578
  6. Step 6: Final answer
    x = 599,230,966.54

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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.