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Finding the Third Proportional to 145,252 and 200,020

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Solution

The third proportional to 145,252 and 200,020 is: 275,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,252 : 200,020 = 200,020 : x
  2. Step 2: Convert to fraction form
    145,252/200,020 = 200,020/x
  3. Step 3: Cross multiply
    145,252x = 200,020 × 200,020
  4. Step 4: Simplify right side
    145,252x = 40,008,000,400
  5. Step 5: Solve for x
    x = 40,008,000,400/145,252
  6. Step 6: Final answer
    x = 275,438.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.