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Finding the Third Proportional to 129,897 and 203,046

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Solution

The third proportional to 129,897 and 203,046 is: 317,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,897 : 203,046 = 203,046 : x
  2. Step 2: Convert to fraction form
    129,897/203,046 = 203,046/x
  3. Step 3: Cross multiply
    129,897x = 203,046 × 203,046
  4. Step 4: Simplify right side
    129,897x = 41,227,678,116
  5. Step 5: Solve for x
    x = 41,227,678,116/129,897
  6. Step 6: Final answer
    x = 317,387.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.