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Finding the Third Proportional to 122,720 and 172,776

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Solution

The third proportional to 122,720 and 172,776 is: 243,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,720 : 172,776 = 172,776 : x
  2. Step 2: Convert to fraction form
    122,720/172,776 = 172,776/x
  3. Step 3: Cross multiply
    122,720x = 172,776 × 172,776
  4. Step 4: Simplify right side
    122,720x = 29,851,546,176
  5. Step 5: Solve for x
    x = 29,851,546,176/122,720
  6. Step 6: Final answer
    x = 243,249.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.