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Finding the Third Proportional to 319,750 and 469,257

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Solution

The third proportional to 319,750 and 469,257 is: 688,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,750 : 469,257 = 469,257 : x
  2. Step 2: Convert to fraction form
    319,750/469,257 = 469,257/x
  3. Step 3: Cross multiply
    319,750x = 469,257 × 469,257
  4. Step 4: Simplify right side
    319,750x = 220,202,132,049
  5. Step 5: Solve for x
    x = 220,202,132,049/319,750
  6. Step 6: Final answer
    x = 688,669.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.