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Finding the Third Proportional to 542,394 and 802,521

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Solution

The third proportional to 542,394 and 802,521 is: 1,187,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,394 : 802,521 = 802,521 : x
  2. Step 2: Convert to fraction form
    542,394/802,521 = 802,521/x
  3. Step 3: Cross multiply
    542,394x = 802,521 × 802,521
  4. Step 4: Simplify right side
    542,394x = 644,039,955,441
  5. Step 5: Solve for x
    x = 644,039,955,441/542,394
  6. Step 6: Final answer
    x = 1,187,402.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.