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Finding the Third Proportional to 358,311 and 542,098

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Solution

The third proportional to 358,311 and 542,098 is: 820,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,311 : 542,098 = 542,098 : x
  2. Step 2: Convert to fraction form
    358,311/542,098 = 542,098/x
  3. Step 3: Cross multiply
    358,311x = 542,098 × 542,098
  4. Step 4: Simplify right side
    358,311x = 293,870,241,604
  5. Step 5: Solve for x
    x = 293,870,241,604/358,311
  6. Step 6: Final answer
    x = 820,154.12

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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.