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Finding the Third Proportional to 256,420 and 398,070

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Solution

The third proportional to 256,420 and 398,070 is: 617,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,420 : 398,070 = 398,070 : x
  2. Step 2: Convert to fraction form
    256,420/398,070 = 398,070/x
  3. Step 3: Cross multiply
    256,420x = 398,070 × 398,070
  4. Step 4: Simplify right side
    256,420x = 158,459,724,900
  5. Step 5: Solve for x
    x = 158,459,724,900/256,420
  6. Step 6: Final answer
    x = 617,969.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.