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Finding the Third Proportional to 438,102 and 663,000.75

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Solution

The third proportional to 438,102 and 663,000.75 is: 1,003,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,102 : 663,000.75 = 663,000.75 : x
  2. Step 2: Convert to fraction form
    438,102/663,000.75 = 663,000.75/x
  3. Step 3: Cross multiply
    438,102x = 663,000.75 × 663,000.75
  4. Step 4: Simplify right side
    438,102x = 439,569,994,500.56
  5. Step 5: Solve for x
    x = 439,569,994,500.56/438,102
  6. Step 6: Final answer
    x = 1,003,350.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.