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Finding the Third Proportional to 282,170 and 386,967

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Solution

The third proportional to 282,170 and 386,967 is: 530,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,170 : 386,967 = 386,967 : x
  2. Step 2: Convert to fraction form
    282,170/386,967 = 386,967/x
  3. Step 3: Cross multiply
    282,170x = 386,967 × 386,967
  4. Step 4: Simplify right side
    282,170x = 149,743,459,089
  5. Step 5: Solve for x
    x = 149,743,459,089/282,170
  6. Step 6: Final answer
    x = 530,685.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.