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Finding the Third Proportional to 9,142 and 14,539

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Solution

The third proportional to 9,142 and 14,539 is: 23,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142 : 14,539 = 14,539 : x
  2. Step 2: Convert to fraction form
    9,142/14,539 = 14,539/x
  3. Step 3: Cross multiply
    9,142x = 14,539 × 14,539
  4. Step 4: Simplify right side
    9,142x = 211,382,521
  5. Step 5: Solve for x
    x = 211,382,521/9,142
  6. Step 6: Final answer
    x = 23,122.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.