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Finding the Third Proportional to 28,496 and 62,410

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Solution

The third proportional to 28,496 and 62,410 is: 136,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,496 : 62,410 = 62,410 : x
  2. Step 2: Convert to fraction form
    28,496/62,410 = 62,410/x
  3. Step 3: Cross multiply
    28,496x = 62,410 × 62,410
  4. Step 4: Simplify right side
    28,496x = 3,895,008,100
  5. Step 5: Solve for x
    x = 3,895,008,100/28,496
  6. Step 6: Final answer
    x = 136,686.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.