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Finding the Third Proportional to 64,139.75 and 100,615.63

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Solution

The third proportional to 64,139.75 and 100,615.63 is: 157,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,139.75 : 100,615.63 = 100,615.63 : x
  2. Step 2: Convert to fraction form
    64,139.75/100,615.63 = 100,615.63/x
  3. Step 3: Cross multiply
    64,139.75x = 100,615.63 × 100,615.63
  4. Step 4: Simplify right side
    64,139.75x = 10,123,503,994.14
  5. Step 5: Solve for x
    x = 10,123,503,994.14/64,139.75
  6. Step 6: Final answer
    x = 157,835.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.