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Finding the Third Proportional to 398,630 and 617,871

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Solution

The third proportional to 398,630 and 617,871 is: 957,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,630 : 617,871 = 617,871 : x
  2. Step 2: Convert to fraction form
    398,630/617,871 = 617,871/x
  3. Step 3: Cross multiply
    398,630x = 617,871 × 617,871
  4. Step 4: Simplify right side
    398,630x = 381,764,572,641
  5. Step 5: Solve for x
    x = 381,764,572,641/398,630
  6. Step 6: Final answer
    x = 957,691.53

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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.