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Finding the Third Proportional to 292,915.50 and 439,374

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Solution

The third proportional to 292,915.50 and 439,374 is: 659,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,915.50 : 439,374 = 439,374 : x
  2. Step 2: Convert to fraction form
    292,915.50/439,374 = 439,374/x
  3. Step 3: Cross multiply
    292,915.50x = 439,374 × 439,374
  4. Step 4: Simplify right side
    292,915.50x = 193,049,511,876
  5. Step 5: Solve for x
    x = 193,049,511,876/292,915.50
  6. Step 6: Final answer
    x = 659,062.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.