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Finding the Third Proportional to 102,730 and 220,788

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Solution

The third proportional to 102,730 and 220,788 is: 474,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,730 : 220,788 = 220,788 : x
  2. Step 2: Convert to fraction form
    102,730/220,788 = 220,788/x
  3. Step 3: Cross multiply
    102,730x = 220,788 × 220,788
  4. Step 4: Simplify right side
    102,730x = 48,747,340,944
  5. Step 5: Solve for x
    x = 48,747,340,944/102,730
  6. Step 6: Final answer
    x = 474,519.04

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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.