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Finding the Third Proportional to 472,890 and 663,559

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Solution

The third proportional to 472,890 and 663,559 is: 931,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,890 : 663,559 = 663,559 : x
  2. Step 2: Convert to fraction form
    472,890/663,559 = 663,559/x
  3. Step 3: Cross multiply
    472,890x = 663,559 × 663,559
  4. Step 4: Simplify right side
    472,890x = 440,310,546,481
  5. Step 5: Solve for x
    x = 440,310,546,481/472,890
  6. Step 6: Final answer
    x = 931,105.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.