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Finding the Third Proportional to 56,163 and 85,399

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Solution

The third proportional to 56,163 and 85,399 is: 129,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,163 : 85,399 = 85,399 : x
  2. Step 2: Convert to fraction form
    56,163/85,399 = 85,399/x
  3. Step 3: Cross multiply
    56,163x = 85,399 × 85,399
  4. Step 4: Simplify right side
    56,163x = 7,292,989,201
  5. Step 5: Solve for x
    x = 7,292,989,201/56,163
  6. Step 6: Final answer
    x = 129,853.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.