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Finding the Third Proportional to 128,432 and 197,650

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Solution

The third proportional to 128,432 and 197,650 is: 304,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,432 : 197,650 = 197,650 : x
  2. Step 2: Convert to fraction form
    128,432/197,650 = 197,650/x
  3. Step 3: Cross multiply
    128,432x = 197,650 × 197,650
  4. Step 4: Simplify right side
    128,432x = 39,065,522,500
  5. Step 5: Solve for x
    x = 39,065,522,500/128,432
  6. Step 6: Final answer
    x = 304,172.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.