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Finding the Third Proportional to 342,481 and 542,276

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Solution

The third proportional to 342,481 and 542,276 is: 858,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,481 : 542,276 = 542,276 : x
  2. Step 2: Convert to fraction form
    342,481/542,276 = 542,276/x
  3. Step 3: Cross multiply
    342,481x = 542,276 × 542,276
  4. Step 4: Simplify right side
    342,481x = 294,063,260,176
  5. Step 5: Solve for x
    x = 294,063,260,176/342,481
  6. Step 6: Final answer
    x = 858,626.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.