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Finding the Third Proportional to 102,578 and 220,492

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Solution

The third proportional to 102,578 and 220,492 is: 473,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578 : 220,492 = 220,492 : x
  2. Step 2: Convert to fraction form
    102,578/220,492 = 220,492/x
  3. Step 3: Cross multiply
    102,578x = 220,492 × 220,492
  4. Step 4: Simplify right side
    102,578x = 48,616,722,064
  5. Step 5: Solve for x
    x = 48,616,722,064/102,578
  6. Step 6: Final answer
    x = 473,948.82

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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.