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Finding the Third Proportional to 130,432 and 198,389

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Solution

The third proportional to 130,432 and 198,389 is: 301,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,432 : 198,389 = 198,389 : x
  2. Step 2: Convert to fraction form
    130,432/198,389 = 198,389/x
  3. Step 3: Cross multiply
    130,432x = 198,389 × 198,389
  4. Step 4: Simplify right side
    130,432x = 39,358,195,321
  5. Step 5: Solve for x
    x = 39,358,195,321/130,432
  6. Step 6: Final answer
    x = 301,752.60

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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.