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Finding the Third Proportional to 122,356.50 and 172,307.25

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Solution

The third proportional to 122,356.50 and 172,307.25 is: 242,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,356.50 : 172,307.25 = 172,307.25 : x
  2. Step 2: Convert to fraction form
    122,356.50/172,307.25 = 172,307.25/x
  3. Step 3: Cross multiply
    122,356.50x = 172,307.25 × 172,307.25
  4. Step 4: Simplify right side
    122,356.50x = 29,689,788,402.56
  5. Step 5: Solve for x
    x = 29,689,788,402.56/122,356.50
  6. Step 6: Final answer
    x = 242,649.87

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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.