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Finding the Third Proportional to 64,636.10 and 100,315.81

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Solution

The third proportional to 64,636.10 and 100,315.81 is: 155,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,636.10 : 100,315.81 = 100,315.81 : x
  2. Step 2: Convert to fraction form
    64,636.10/100,315.81 = 100,315.81/x
  3. Step 3: Cross multiply
    64,636.10x = 100,315.81 × 100,315.81
  4. Step 4: Simplify right side
    64,636.10x = 10,063,261,845.68
  5. Step 5: Solve for x
    x = 10,063,261,845.68/64,636.10
  6. Step 6: Final answer
    x = 155,691.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.