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Finding the Third Proportional to 128,509,229.25 and 195,776,982

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Solution

The third proportional to 128,509,229.25 and 195,776,982 is: 298,255,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,509,229.25 : 195,776,982 = 195,776,982 : x
  2. Step 2: Convert to fraction form
    128,509,229.25/195,776,982 = 195,776,982/x
  3. Step 3: Cross multiply
    128,509,229.25x = 195,776,982 × 195,776,982
  4. Step 4: Simplify right side
    128,509,229.25x = 38,328,626,681,028,320
  5. Step 5: Solve for x
    x = 38,328,626,681,028,320/128,509,229.25
  6. Step 6: Final answer
    x = 298,255,828.82

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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.