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Finding the Third Proportional to 349,230 and 749,436

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Solution

The third proportional to 349,230 and 749,436 is: 1,608,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,230 : 749,436 = 749,436 : x
  2. Step 2: Convert to fraction form
    349,230/749,436 = 749,436/x
  3. Step 3: Cross multiply
    349,230x = 749,436 × 749,436
  4. Step 4: Simplify right side
    349,230x = 561,654,318,096
  5. Step 5: Solve for x
    x = 561,654,318,096/349,230
  6. Step 6: Final answer
    x = 1,608,264.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.