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Finding the Third Proportional to 168,710 and 258,702.25

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Solution

The third proportional to 168,710 and 258,702.25 is: 396,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,710 : 258,702.25 = 258,702.25 : x
  2. Step 2: Convert to fraction form
    168,710/258,702.25 = 258,702.25/x
  3. Step 3: Cross multiply
    168,710x = 258,702.25 × 258,702.25
  4. Step 4: Simplify right side
    168,710x = 66,926,854,155.06
  5. Step 5: Solve for x
    x = 66,926,854,155.06/168,710
  6. Step 6: Final answer
    x = 396,697.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.