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Finding the Third Proportional to 358,304 and 542,088

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Solution

The third proportional to 358,304 and 542,088 is: 820,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,304 : 542,088 = 542,088 : x
  2. Step 2: Convert to fraction form
    358,304/542,088 = 542,088/x
  3. Step 3: Cross multiply
    358,304x = 542,088 × 542,088
  4. Step 4: Simplify right side
    358,304x = 293,859,399,744
  5. Step 5: Solve for x
    x = 293,859,399,744/358,304
  6. Step 6: Final answer
    x = 820,139.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.