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Finding the Third Proportional to 128,169,330 and 198,586,980

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Solution

The third proportional to 128,169,330 and 198,586,980 is: 307,692,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,169,330 : 198,586,980 = 198,586,980 : x
  2. Step 2: Convert to fraction form
    128,169,330/198,586,980 = 198,586,980/x
  3. Step 3: Cross multiply
    128,169,330x = 198,586,980 × 198,586,980
  4. Step 4: Simplify right side
    128,169,330x = 39,436,788,625,520,400
  5. Step 5: Solve for x
    x = 39,436,788,625,520,400/128,169,330
  6. Step 6: Final answer
    x = 307,692,867.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.