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Finding the Third Proportional to 129,372 and 197,514

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Solution

The third proportional to 129,372 and 197,514 is: 301,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,372 : 197,514 = 197,514 : x
  2. Step 2: Convert to fraction form
    129,372/197,514 = 197,514/x
  3. Step 3: Cross multiply
    129,372x = 197,514 × 197,514
  4. Step 4: Simplify right side
    129,372x = 39,011,780,196
  5. Step 5: Solve for x
    x = 39,011,780,196/129,372
  6. Step 6: Final answer
    x = 301,547.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.