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Finding the Third Proportional to 113,657 and 170,486

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Solution

The third proportional to 113,657 and 170,486 is: 255,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,657 : 170,486 = 170,486 : x
  2. Step 2: Convert to fraction form
    113,657/170,486 = 170,486/x
  3. Step 3: Cross multiply
    113,657x = 170,486 × 170,486
  4. Step 4: Simplify right side
    113,657x = 29,065,476,196
  5. Step 5: Solve for x
    x = 29,065,476,196/113,657
  6. Step 6: Final answer
    x = 255,729.75

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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.