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Finding the Third Proportional to 345,724 and 542,339

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Solution

The third proportional to 345,724 and 542,339 is: 850,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,724 : 542,339 = 542,339 : x
  2. Step 2: Convert to fraction form
    345,724/542,339 = 542,339/x
  3. Step 3: Cross multiply
    345,724x = 542,339 × 542,339
  4. Step 4: Simplify right side
    345,724x = 294,131,590,921
  5. Step 5: Solve for x
    x = 294,131,590,921/345,724
  6. Step 6: Final answer
    x = 850,769.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.