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Finding the Third Proportional to 137,702 and 218,433

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Solution

The third proportional to 137,702 and 218,433 is: 346,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,702 : 218,433 = 218,433 : x
  2. Step 2: Convert to fraction form
    137,702/218,433 = 218,433/x
  3. Step 3: Cross multiply
    137,702x = 218,433 × 218,433
  4. Step 4: Simplify right side
    137,702x = 47,712,975,489
  5. Step 5: Solve for x
    x = 47,712,975,489/137,702
  6. Step 6: Final answer
    x = 346,494.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.