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Finding the Third Proportional to 398,340 and 621,702

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Solution

The third proportional to 398,340 and 621,702 is: 970,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,340 : 621,702 = 621,702 : x
  2. Step 2: Convert to fraction form
    398,340/621,702 = 621,702/x
  3. Step 3: Cross multiply
    398,340x = 621,702 × 621,702
  4. Step 4: Simplify right side
    398,340x = 386,513,376,804
  5. Step 5: Solve for x
    x = 386,513,376,804/398,340
  6. Step 6: Final answer
    x = 970,310.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.