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Finding the Third Proportional to 63,572 and 138,820

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Solution

The third proportional to 63,572 and 138,820 is: 303,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,572 : 138,820 = 138,820 : x
  2. Step 2: Convert to fraction form
    63,572/138,820 = 138,820/x
  3. Step 3: Cross multiply
    63,572x = 138,820 × 138,820
  4. Step 4: Simplify right side
    63,572x = 19,270,992,400
  5. Step 5: Solve for x
    x = 19,270,992,400/63,572
  6. Step 6: Final answer
    x = 303,136.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.