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Finding the Third Proportional to 398,853 and 598,572

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Solution

The third proportional to 398,853 and 598,572 is: 898,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,853 : 598,572 = 598,572 : x
  2. Step 2: Convert to fraction form
    398,853/598,572 = 598,572/x
  3. Step 3: Cross multiply
    398,853x = 598,572 × 598,572
  4. Step 4: Simplify right side
    398,853x = 358,288,439,184
  5. Step 5: Solve for x
    x = 358,288,439,184/398,853
  6. Step 6: Final answer
    x = 898,296.96

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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.