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Finding the Third Proportional to 21,042 and 31,257

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Solution

The third proportional to 21,042 and 31,257 is: 46,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042 : 31,257 = 31,257 : x
  2. Step 2: Convert to fraction form
    21,042/31,257 = 31,257/x
  3. Step 3: Cross multiply
    21,042x = 31,257 × 31,257
  4. Step 4: Simplify right side
    21,042x = 977,000,049
  5. Step 5: Solve for x
    x = 977,000,049/21,042
  6. Step 6: Final answer
    x = 46,430.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.