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Finding the Third Proportional to 218,262 and 336,402

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Solution

The third proportional to 218,262 and 336,402 is: 518,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,262 : 336,402 = 336,402 : x
  2. Step 2: Convert to fraction form
    218,262/336,402 = 336,402/x
  3. Step 3: Cross multiply
    218,262x = 336,402 × 336,402
  4. Step 4: Simplify right side
    218,262x = 113,166,305,604
  5. Step 5: Solve for x
    x = 113,166,305,604/218,262
  6. Step 6: Final answer
    x = 518,488.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.