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Finding the Third Proportional to 60,421 and 130,561

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Solution

The third proportional to 60,421 and 130,561 is: 282,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,421 : 130,561 = 130,561 : x
  2. Step 2: Convert to fraction form
    60,421/130,561 = 130,561/x
  3. Step 3: Cross multiply
    60,421x = 130,561 × 130,561
  4. Step 4: Simplify right side
    60,421x = 17,046,174,721
  5. Step 5: Solve for x
    x = 17,046,174,721/60,421
  6. Step 6: Final answer
    x = 282,123.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.