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Finding the Third Proportional to 240,213 and 347,908

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Solution

The third proportional to 240,213 and 347,908 is: 503,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,213 : 347,908 = 347,908 : x
  2. Step 2: Convert to fraction form
    240,213/347,908 = 347,908/x
  3. Step 3: Cross multiply
    240,213x = 347,908 × 347,908
  4. Step 4: Simplify right side
    240,213x = 121,039,976,464
  5. Step 5: Solve for x
    x = 121,039,976,464/240,213
  6. Step 6: Final answer
    x = 503,886.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.