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Finding the Third Proportional to 152,990 and 220,348

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Solution

The third proportional to 152,990 and 220,348 is: 317,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,990 : 220,348 = 220,348 : x
  2. Step 2: Convert to fraction form
    152,990/220,348 = 220,348/x
  3. Step 3: Cross multiply
    152,990x = 220,348 × 220,348
  4. Step 4: Simplify right side
    152,990x = 48,553,241,104
  5. Step 5: Solve for x
    x = 48,553,241,104/152,990
  6. Step 6: Final answer
    x = 317,362.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.