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Finding the Third Proportional to 488,608.88 and 747,444.38

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Solution

The third proportional to 488,608.88 and 747,444.38 is: 1,143,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,608.88 : 747,444.38 = 747,444.38 : x
  2. Step 2: Convert to fraction form
    488,608.88/747,444.38 = 747,444.38/x
  3. Step 3: Cross multiply
    488,608.88x = 747,444.38 × 747,444.38
  4. Step 4: Simplify right side
    488,608.88x = 558,673,093,719.14
  5. Step 5: Solve for x
    x = 558,673,093,719.14/488,608.88
  6. Step 6: Final answer
    x = 1,143,395.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.