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Finding the Third Proportional to 129,748 and 195,550

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Solution

The third proportional to 129,748 and 195,550 is: 294,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,748 : 195,550 = 195,550 : x
  2. Step 2: Convert to fraction form
    129,748/195,550 = 195,550/x
  3. Step 3: Cross multiply
    129,748x = 195,550 × 195,550
  4. Step 4: Simplify right side
    129,748x = 38,239,802,500
  5. Step 5: Solve for x
    x = 38,239,802,500/129,748
  6. Step 6: Final answer
    x = 294,723.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.