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Finding the Third Proportional to 221,578 and 313,541

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Solution

The third proportional to 221,578 and 313,541 is: 443,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,578 : 313,541 = 313,541 : x
  2. Step 2: Convert to fraction form
    221,578/313,541 = 313,541/x
  3. Step 3: Cross multiply
    221,578x = 313,541 × 313,541
  4. Step 4: Simplify right side
    221,578x = 98,307,958,681
  5. Step 5: Solve for x
    x = 98,307,958,681/221,578
  6. Step 6: Final answer
    x = 443,672.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.