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Finding the Third Proportional to 223,720 and 338,840

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Solution

The third proportional to 223,720 and 338,840 is: 513,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,720 : 338,840 = 338,840 : x
  2. Step 2: Convert to fraction form
    223,720/338,840 = 338,840/x
  3. Step 3: Cross multiply
    223,720x = 338,840 × 338,840
  4. Step 4: Simplify right side
    223,720x = 114,812,545,600
  5. Step 5: Solve for x
    x = 114,812,545,600/223,720
  6. Step 6: Final answer
    x = 513,197.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.