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Finding the Third Proportional to 242,640.56 and 510,378.75

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Solution

The third proportional to 242,640.56 and 510,378.75 is: 1,073,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,640.56 : 510,378.75 = 510,378.75 : x
  2. Step 2: Convert to fraction form
    242,640.56/510,378.75 = 510,378.75/x
  3. Step 3: Cross multiply
    242,640.56x = 510,378.75 × 510,378.75
  4. Step 4: Simplify right side
    242,640.56x = 260,486,468,451.56
  5. Step 5: Solve for x
    x = 260,486,468,451.56/242,640.56
  6. Step 6: Final answer
    x = 1,073,548.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.