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Finding the Third Proportional to 40,128,768 and 61,132,032

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Solution

The third proportional to 40,128,768 and 61,132,032 is: 93,128,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,128,768 : 61,132,032 = 61,132,032 : x
  2. Step 2: Convert to fraction form
    40,128,768/61,132,032 = 61,132,032/x
  3. Step 3: Cross multiply
    40,128,768x = 61,132,032 × 61,132,032
  4. Step 4: Simplify right side
    40,128,768x = 3,737,125,336,449,024
  5. Step 5: Solve for x
    x = 3,737,125,336,449,024/40,128,768
  6. Step 6: Final answer
    x = 93,128,334.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.