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Finding the Third Proportional to 389,716 and 584,628

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Solution

The third proportional to 389,716 and 584,628 is: 877,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,716 : 584,628 = 584,628 : x
  2. Step 2: Convert to fraction form
    389,716/584,628 = 584,628/x
  3. Step 3: Cross multiply
    389,716x = 584,628 × 584,628
  4. Step 4: Simplify right side
    389,716x = 341,789,898,384
  5. Step 5: Solve for x
    x = 341,789,898,384/389,716
  6. Step 6: Final answer
    x = 877,023.01

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