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Finding the Third Proportional to 389,705 and 584,612

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Solution

The third proportional to 389,705 and 584,612 is: 876,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,705 : 584,612 = 584,612 : x
  2. Step 2: Convert to fraction form
    389,705/584,612 = 584,612/x
  3. Step 3: Cross multiply
    389,705x = 584,612 × 584,612
  4. Step 4: Simplify right side
    389,705x = 341,771,190,544
  5. Step 5: Solve for x
    x = 341,771,190,544/389,705
  6. Step 6: Final answer
    x = 876,999.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.