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Finding the Third Proportional to 102,280 and 221,192

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Solution

The third proportional to 102,280 and 221,192 is: 478,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,280 : 221,192 = 221,192 : x
  2. Step 2: Convert to fraction form
    102,280/221,192 = 221,192/x
  3. Step 3: Cross multiply
    102,280x = 221,192 × 221,192
  4. Step 4: Simplify right side
    102,280x = 48,925,900,864
  5. Step 5: Solve for x
    x = 48,925,900,864/102,280
  6. Step 6: Final answer
    x = 478,352.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.