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Finding the Third Proportional to 122,365 and 172,320

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Solution

The third proportional to 122,365 and 172,320 is: 242,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,365 : 172,320 = 172,320 : x
  2. Step 2: Convert to fraction form
    122,365/172,320 = 172,320/x
  3. Step 3: Cross multiply
    122,365x = 172,320 × 172,320
  4. Step 4: Simplify right side
    122,365x = 29,694,182,400
  5. Step 5: Solve for x
    x = 29,694,182,400/122,365
  6. Step 6: Final answer
    x = 242,668.92

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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.