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Finding the Third Proportional to 87,496 and 128,328

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Solution

The third proportional to 87,496 and 128,328 is: 188,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,496 : 128,328 = 128,328 : x
  2. Step 2: Convert to fraction form
    87,496/128,328 = 128,328/x
  3. Step 3: Cross multiply
    87,496x = 128,328 × 128,328
  4. Step 4: Simplify right side
    87,496x = 16,468,075,584
  5. Step 5: Solve for x
    x = 16,468,075,584/87,496
  6. Step 6: Final answer
    x = 188,215.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.