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Finding the Third Proportional to 20,130.75 and 40,259.53

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Solution

The third proportional to 20,130.75 and 40,259.53 is: 80,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.75 : 40,259.53 = 40,259.53 : x
  2. Step 2: Convert to fraction form
    20,130.75/40,259.53 = 40,259.53/x
  3. Step 3: Cross multiply
    20,130.75x = 40,259.53 × 40,259.53
  4. Step 4: Simplify right side
    20,130.75x = 1,620,829,856.47
  5. Step 5: Solve for x
    x = 1,620,829,856.47/20,130.75
  6. Step 6: Final answer
    x = 80,515.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.