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Finding the Third Proportional to 253,602 and 392,466

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Solution

The third proportional to 253,602 and 392,466 is: 607,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,602 : 392,466 = 392,466 : x
  2. Step 2: Convert to fraction form
    253,602/392,466 = 392,466/x
  3. Step 3: Cross multiply
    253,602x = 392,466 × 392,466
  4. Step 4: Simplify right side
    253,602x = 154,029,561,156
  5. Step 5: Solve for x
    x = 154,029,561,156/253,602
  6. Step 6: Final answer
    x = 607,367.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.