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Finding the Third Proportional to 389,712 and 584,622

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Solution

The third proportional to 389,712 and 584,622 is: 877,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,712 : 584,622 = 584,622 : x
  2. Step 2: Convert to fraction form
    389,712/584,622 = 584,622/x
  3. Step 3: Cross multiply
    389,712x = 584,622 × 584,622
  4. Step 4: Simplify right side
    389,712x = 341,782,882,884
  5. Step 5: Solve for x
    x = 341,782,882,884/389,712
  6. Step 6: Final answer
    x = 877,014.01

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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.