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Finding the Third Proportional to 132,443 and 286,888

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Solution

The third proportional to 132,443 and 286,888 is: 621,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,443 : 286,888 = 286,888 : x
  2. Step 2: Convert to fraction form
    132,443/286,888 = 286,888/x
  3. Step 3: Cross multiply
    132,443x = 286,888 × 286,888
  4. Step 4: Simplify right side
    132,443x = 82,304,724,544
  5. Step 5: Solve for x
    x = 82,304,724,544/132,443
  6. Step 6: Final answer
    x = 621,435.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.