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Finding the Third Proportional to 438,108 and 663,010.50

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Solution

The third proportional to 438,108 and 663,010.50 is: 1,003,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,108 : 663,010.50 = 663,010.50 : x
  2. Step 2: Convert to fraction form
    438,108/663,010.50 = 663,010.50/x
  3. Step 3: Cross multiply
    438,108x = 663,010.50 × 663,010.50
  4. Step 4: Simplify right side
    438,108x = 439,582,923,110.25
  5. Step 5: Solve for x
    x = 439,582,923,110.25/438,108
  6. Step 6: Final answer
    x = 1,003,366.57

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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.