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Finding the Third Proportional to 142,472 and 202,508

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Solution

The third proportional to 142,472 and 202,508 is: 287,842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,472 : 202,508 = 202,508 : x
  2. Step 2: Convert to fraction form
    142,472/202,508 = 202,508/x
  3. Step 3: Cross multiply
    142,472x = 202,508 × 202,508
  4. Step 4: Simplify right side
    142,472x = 41,009,490,064
  5. Step 5: Solve for x
    x = 41,009,490,064/142,472
  6. Step 6: Final answer
    x = 287,842.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.