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Finding the Third Proportional to 390,919.50 and 847,809

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Solution

The third proportional to 390,919.50 and 847,809 is: 1,838,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,919.50 : 847,809 = 847,809 : x
  2. Step 2: Convert to fraction form
    390,919.50/847,809 = 847,809/x
  3. Step 3: Cross multiply
    390,919.50x = 847,809 × 847,809
  4. Step 4: Simplify right side
    390,919.50x = 718,780,100,481
  5. Step 5: Solve for x
    x = 718,780,100,481/390,919.50
  6. Step 6: Final answer
    x = 1,838,690.83

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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.