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Finding the Third Proportional to 347,158 and 520,737

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Solution

The third proportional to 347,158 and 520,737 is: 781,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,158 : 520,737 = 520,737 : x
  2. Step 2: Convert to fraction form
    347,158/520,737 = 520,737/x
  3. Step 3: Cross multiply
    347,158x = 520,737 × 520,737
  4. Step 4: Simplify right side
    347,158x = 271,167,023,169
  5. Step 5: Solve for x
    x = 271,167,023,169/347,158
  6. Step 6: Final answer
    x = 781,105.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.