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Finding the Third Proportional to 179,878 and 390,860

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Solution

The third proportional to 179,878 and 390,860 is: 849,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,878 : 390,860 = 390,860 : x
  2. Step 2: Convert to fraction form
    179,878/390,860 = 390,860/x
  3. Step 3: Cross multiply
    179,878x = 390,860 × 390,860
  4. Step 4: Simplify right side
    179,878x = 152,771,539,600
  5. Step 5: Solve for x
    x = 152,771,539,600/179,878
  6. Step 6: Final answer
    x = 849,306.42

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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.