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Finding the Third Proportional to 56,455 and 84,686

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Solution

The third proportional to 56,455 and 84,686 is: 127,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,455 : 84,686 = 84,686 : x
  2. Step 2: Convert to fraction form
    56,455/84,686 = 84,686/x
  3. Step 3: Cross multiply
    56,455x = 84,686 × 84,686
  4. Step 4: Simplify right side
    56,455x = 7,171,718,596
  5. Step 5: Solve for x
    x = 7,171,718,596/56,455
  6. Step 6: Final answer
    x = 127,034.25

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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.