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Finding the Third Proportional to 128,501,748 and 195,764,121

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Solution

The third proportional to 128,501,748 and 195,764,121 is: 298,234,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,501,748 : 195,764,121 = 195,764,121 : x
  2. Step 2: Convert to fraction form
    128,501,748/195,764,121 = 195,764,121/x
  3. Step 3: Cross multiply
    128,501,748x = 195,764,121 × 195,764,121
  4. Step 4: Simplify right side
    128,501,748x = 38,323,591,070,902,640
  5. Step 5: Solve for x
    x = 38,323,591,070,902,640/128,501,748
  6. Step 6: Final answer
    x = 298,234,005.90

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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.