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Finding the Third Proportional to 56,439 and 133,672.50

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Solution

The third proportional to 56,439 and 133,672.50 is: 316,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,439 : 133,672.50 = 133,672.50 : x
  2. Step 2: Convert to fraction form
    56,439/133,672.50 = 133,672.50/x
  3. Step 3: Cross multiply
    56,439x = 133,672.50 × 133,672.50
  4. Step 4: Simplify right side
    56,439x = 17,868,337,256.25
  5. Step 5: Solve for x
    x = 17,868,337,256.25/56,439
  6. Step 6: Final answer
    x = 316,595.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.