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Finding the Third Proportional to 145,257 and 220,059

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Solution

The third proportional to 145,257 and 220,059 is: 333,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,257 : 220,059 = 220,059 : x
  2. Step 2: Convert to fraction form
    145,257/220,059 = 220,059/x
  3. Step 3: Cross multiply
    145,257x = 220,059 × 220,059
  4. Step 4: Simplify right side
    145,257x = 48,425,963,481
  5. Step 5: Solve for x
    x = 48,425,963,481/145,257
  6. Step 6: Final answer
    x = 333,381.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.