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Finding the Third Proportional to 345,272 and 542,536

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Solution

The third proportional to 345,272 and 542,536 is: 852,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,272 : 542,536 = 542,536 : x
  2. Step 2: Convert to fraction form
    345,272/542,536 = 542,536/x
  3. Step 3: Cross multiply
    345,272x = 542,536 × 542,536
  4. Step 4: Simplify right side
    345,272x = 294,345,311,296
  5. Step 5: Solve for x
    x = 294,345,311,296/345,272
  6. Step 6: Final answer
    x = 852,502.70

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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.