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Finding the Third Proportional to 444,471 and 722,110.50

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Solution

The third proportional to 444,471 and 722,110.50 is: 1,173,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,471 : 722,110.50 = 722,110.50 : x
  2. Step 2: Convert to fraction form
    444,471/722,110.50 = 722,110.50/x
  3. Step 3: Cross multiply
    444,471x = 722,110.50 × 722,110.50
  4. Step 4: Simplify right side
    444,471x = 521,443,574,210.25
  5. Step 5: Solve for x
    x = 521,443,574,210.25/444,471
  6. Step 6: Final answer
    x = 1,173,177.94

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.