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Finding the Third Proportional to 142,476 and 202,514

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Solution

The third proportional to 142,476 and 202,514 is: 287,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,476 : 202,514 = 202,514 : x
  2. Step 2: Convert to fraction form
    142,476/202,514 = 202,514/x
  3. Step 3: Cross multiply
    142,476x = 202,514 × 202,514
  4. Step 4: Simplify right side
    142,476x = 41,011,920,196
  5. Step 5: Solve for x
    x = 41,011,920,196/142,476
  6. Step 6: Final answer
    x = 287,851.43

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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.