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Finding the Third Proportional to 64,237.50 and 138,318.75

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Solution

The third proportional to 64,237.50 and 138,318.75 is: 297,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,237.50 : 138,318.75 = 138,318.75 : x
  2. Step 2: Convert to fraction form
    64,237.50/138,318.75 = 138,318.75/x
  3. Step 3: Cross multiply
    64,237.50x = 138,318.75 × 138,318.75
  4. Step 4: Simplify right side
    64,237.50x = 19,132,076,601.56
  5. Step 5: Solve for x
    x = 19,132,076,601.56/64,237.50
  6. Step 6: Final answer
    x = 297,833.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.