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Finding the Third Proportional to 145,898 and 220,359

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Solution

The third proportional to 145,898 and 220,359 is: 332,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,898 : 220,359 = 220,359 : x
  2. Step 2: Convert to fraction form
    145,898/220,359 = 220,359/x
  3. Step 3: Cross multiply
    145,898x = 220,359 × 220,359
  4. Step 4: Simplify right side
    145,898x = 48,558,088,881
  5. Step 5: Solve for x
    x = 48,558,088,881/145,898
  6. Step 6: Final answer
    x = 332,822.17

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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.