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Finding the Third Proportional to 65,602.50 and 137,814.75

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Solution

The third proportional to 65,602.50 and 137,814.75 is: 289,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,602.50 : 137,814.75 = 137,814.75 : x
  2. Step 2: Convert to fraction form
    65,602.50/137,814.75 = 137,814.75/x
  3. Step 3: Cross multiply
    65,602.50x = 137,814.75 × 137,814.75
  4. Step 4: Simplify right side
    65,602.50x = 18,992,905,317.56
  5. Step 5: Solve for x
    x = 18,992,905,317.56/65,602.50
  6. Step 6: Final answer
    x = 289,514.96

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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.