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Finding the Third Proportional to 179,899 and 390,901

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Solution

The third proportional to 179,899 and 390,901 is: 849,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,899 : 390,901 = 390,901 : x
  2. Step 2: Convert to fraction form
    179,899/390,901 = 390,901/x
  3. Step 3: Cross multiply
    179,899x = 390,901 × 390,901
  4. Step 4: Simplify right side
    179,899x = 152,803,591,801
  5. Step 5: Solve for x
    x = 152,803,591,801/179,899
  6. Step 6: Final answer
    x = 849,385.44

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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.