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Finding the Third Proportional to 472,890 and 663,558

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Solution

The third proportional to 472,890 and 663,558 is: 931,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,890 : 663,558 = 663,558 : x
  2. Step 2: Convert to fraction form
    472,890/663,558 = 663,558/x
  3. Step 3: Cross multiply
    472,890x = 663,558 × 663,558
  4. Step 4: Simplify right side
    472,890x = 440,309,219,364
  5. Step 5: Solve for x
    x = 440,309,219,364/472,890
  6. Step 6: Final answer
    x = 931,102.83

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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.