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Finding the Third Proportional to 64,849.50 and 142,000.75

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Solution

The third proportional to 64,849.50 and 142,000.75 is: 310,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849.50 : 142,000.75 = 142,000.75 : x
  2. Step 2: Convert to fraction form
    64,849.50/142,000.75 = 142,000.75/x
  3. Step 3: Cross multiply
    64,849.50x = 142,000.75 × 142,000.75
  4. Step 4: Simplify right side
    64,849.50x = 20,164,213,000.56
  5. Step 5: Solve for x
    x = 20,164,213,000.56/64,849.50
  6. Step 6: Final answer
    x = 310,938.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.