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Finding the Third Proportional to 398,866 and 598,574

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Solution

The third proportional to 398,866 and 598,574 is: 898,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,866 : 598,574 = 598,574 : x
  2. Step 2: Convert to fraction form
    398,866/598,574 = 598,574/x
  3. Step 3: Cross multiply
    398,866x = 598,574 × 598,574
  4. Step 4: Simplify right side
    398,866x = 358,290,833,476
  5. Step 5: Solve for x
    x = 358,290,833,476/398,866
  6. Step 6: Final answer
    x = 898,273.69

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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.