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Finding the Third Proportional to 179,882 and 390,868

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Solution

The third proportional to 179,882 and 390,868 is: 849,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,882 : 390,868 = 390,868 : x
  2. Step 2: Convert to fraction form
    179,882/390,868 = 390,868/x
  3. Step 3: Cross multiply
    179,882x = 390,868 × 390,868
  4. Step 4: Simplify right side
    179,882x = 152,777,793,424
  5. Step 5: Solve for x
    x = 152,777,793,424/179,882
  6. Step 6: Final answer
    x = 849,322.30

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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.