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Finding the Third Proportional to 137,430.25 and 298,360.75

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Solution

The third proportional to 137,430.25 and 298,360.75 is: 647,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,430.25 : 298,360.75 = 298,360.75 : x
  2. Step 2: Convert to fraction form
    137,430.25/298,360.75 = 298,360.75/x
  3. Step 3: Cross multiply
    137,430.25x = 298,360.75 × 298,360.75
  4. Step 4: Simplify right side
    137,430.25x = 89,019,137,140.56
  5. Step 5: Solve for x
    x = 89,019,137,140.56/137,430.25
  6. Step 6: Final answer
    x = 647,740.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.