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Finding the Third Proportional to 230,512.50 and 342,427.50

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Solution

The third proportional to 230,512.50 and 342,427.50 is: 508,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,512.50 : 342,427.50 = 342,427.50 : x
  2. Step 2: Convert to fraction form
    230,512.50/342,427.50 = 342,427.50/x
  3. Step 3: Cross multiply
    230,512.50x = 342,427.50 × 342,427.50
  4. Step 4: Simplify right side
    230,512.50x = 117,256,592,756.25
  5. Step 5: Solve for x
    x = 117,256,592,756.25/230,512.50
  6. Step 6: Final answer
    x = 508,677.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.