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Finding the Third Proportional to 312,871 and 469,317

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Solution

The third proportional to 312,871 and 469,317 is: 703,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,871 : 469,317 = 469,317 : x
  2. Step 2: Convert to fraction form
    312,871/469,317 = 469,317/x
  3. Step 3: Cross multiply
    312,871x = 469,317 × 469,317
  4. Step 4: Simplify right side
    312,871x = 220,258,446,489
  5. Step 5: Solve for x
    x = 220,258,446,489/312,871
  6. Step 6: Final answer
    x = 703,991.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.