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Finding the Third Proportional to 8,528 and 13,040

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Solution

The third proportional to 8,528 and 13,040 is: 19,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528 : 13,040 = 13,040 : x
  2. Step 2: Convert to fraction form
    8,528/13,040 = 13,040/x
  3. Step 3: Cross multiply
    8,528x = 13,040 × 13,040
  4. Step 4: Simplify right side
    8,528x = 170,041,600
  5. Step 5: Solve for x
    x = 170,041,600/8,528
  6. Step 6: Final answer
    x = 19,939.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.