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Finding the Third Proportional to 179,931 and 390,966

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Solution

The third proportional to 179,931 and 390,966 is: 849,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,931 : 390,966 = 390,966 : x
  2. Step 2: Convert to fraction form
    179,931/390,966 = 390,966/x
  3. Step 3: Cross multiply
    179,931x = 390,966 × 390,966
  4. Step 4: Simplify right side
    179,931x = 152,854,413,156
  5. Step 5: Solve for x
    x = 152,854,413,156/179,931
  6. Step 6: Final answer
    x = 849,516.83

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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.