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Finding the Third Proportional to 218,234 and 469,840

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Solution

The third proportional to 218,234 and 469,840 is: 1,011,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,234 : 469,840 = 469,840 : x
  2. Step 2: Convert to fraction form
    218,234/469,840 = 469,840/x
  3. Step 3: Cross multiply
    218,234x = 469,840 × 469,840
  4. Step 4: Simplify right side
    218,234x = 220,749,625,600
  5. Step 5: Solve for x
    x = 220,749,625,600/218,234
  6. Step 6: Final answer
    x = 1,011,527.19

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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.