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Finding the Third Proportional to 342,483 and 542,279

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Solution

The third proportional to 342,483 and 542,279 is: 858,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,483 : 542,279 = 542,279 : x
  2. Step 2: Convert to fraction form
    342,483/542,279 = 542,279/x
  3. Step 3: Cross multiply
    342,483x = 542,279 × 542,279
  4. Step 4: Simplify right side
    342,483x = 294,066,513,841
  5. Step 5: Solve for x
    x = 294,066,513,841/342,483
  6. Step 6: Final answer
    x = 858,630.98

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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.