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Finding the Third Proportional to 220,396 and 477,440

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Solution

The third proportional to 220,396 and 477,440 is: 1,034,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,396 : 477,440 = 477,440 : x
  2. Step 2: Convert to fraction form
    220,396/477,440 = 477,440/x
  3. Step 3: Cross multiply
    220,396x = 477,440 × 477,440
  4. Step 4: Simplify right side
    220,396x = 227,948,953,600
  5. Step 5: Solve for x
    x = 227,948,953,600/220,396
  6. Step 6: Final answer
    x = 1,034,269.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.