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Finding the Third Proportional to 129,352 and 199,810

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Solution

The third proportional to 129,352 and 199,810 is: 308,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352 : 199,810 = 199,810 : x
  2. Step 2: Convert to fraction form
    129,352/199,810 = 199,810/x
  3. Step 3: Cross multiply
    129,352x = 199,810 × 199,810
  4. Step 4: Simplify right side
    129,352x = 39,924,036,100
  5. Step 5: Solve for x
    x = 39,924,036,100/129,352
  6. Step 6: Final answer
    x = 308,646.45

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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.