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Finding the Third Proportional to 128,125,152 and 198,557,244

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Solution

The third proportional to 128,125,152 and 198,557,244 is: 307,706,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,125,152 : 198,557,244 = 198,557,244 : x
  2. Step 2: Convert to fraction form
    128,125,152/198,557,244 = 198,557,244/x
  3. Step 3: Cross multiply
    128,125,152x = 198,557,244 × 198,557,244
  4. Step 4: Simplify right side
    128,125,152x = 39,424,979,144,875,536
  5. Step 5: Solve for x
    x = 39,424,979,144,875,536/128,125,152
  6. Step 6: Final answer
    x = 307,706,789.26

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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.