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Finding the Third Proportional to 389,572 and 584,357

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Solution

The third proportional to 389,572 and 584,357 is: 876,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,572 : 584,357 = 584,357 : x
  2. Step 2: Convert to fraction form
    389,572/584,357 = 584,357/x
  3. Step 3: Cross multiply
    389,572x = 584,357 × 584,357
  4. Step 4: Simplify right side
    389,572x = 341,473,103,449
  5. Step 5: Solve for x
    x = 341,473,103,449/389,572
  6. Step 6: Final answer
    x = 876,534.00

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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.