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Finding the Third Proportional to 389,720 and 584,634

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Solution

The third proportional to 389,720 and 584,634 is: 877,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,720 : 584,634 = 584,634 : x
  2. Step 2: Convert to fraction form
    389,720/584,634 = 584,634/x
  3. Step 3: Cross multiply
    389,720x = 584,634 × 584,634
  4. Step 4: Simplify right side
    389,720x = 341,796,913,956
  5. Step 5: Solve for x
    x = 341,796,913,956/389,720
  6. Step 6: Final answer
    x = 877,032.01

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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.