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Finding the Third Proportional to 10,540 and 15,783

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Solution

The third proportional to 10,540 and 15,783 is: 23,634.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540 : 15,783 = 15,783 : x
  2. Step 2: Convert to fraction form
    10,540/15,783 = 15,783/x
  3. Step 3: Cross multiply
    10,540x = 15,783 × 15,783
  4. Step 4: Simplify right side
    10,540x = 249,103,089
  5. Step 5: Solve for x
    x = 249,103,089/10,540
  6. Step 6: Final answer
    x = 23,634.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.