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Finding the Third Proportional to 64,426.50 and 100,193.25

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Solution

The third proportional to 64,426.50 and 100,193.25 is: 155,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,426.50 : 100,193.25 = 100,193.25 : x
  2. Step 2: Convert to fraction form
    64,426.50/100,193.25 = 100,193.25/x
  3. Step 3: Cross multiply
    64,426.50x = 100,193.25 × 100,193.25
  4. Step 4: Simplify right side
    64,426.50x = 10,038,687,345.56
  5. Step 5: Solve for x
    x = 10,038,687,345.56/64,426.50
  6. Step 6: Final answer
    x = 155,816.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.