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Finding the Third Proportional to 55,207 and 85,643

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Solution

The third proportional to 55,207 and 85,643 is: 132,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207 : 85,643 = 85,643 : x
  2. Step 2: Convert to fraction form
    55,207/85,643 = 85,643/x
  3. Step 3: Cross multiply
    55,207x = 85,643 × 85,643
  4. Step 4: Simplify right side
    55,207x = 7,334,723,449
  5. Step 5: Solve for x
    x = 7,334,723,449/55,207
  6. Step 6: Final answer
    x = 132,858.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.