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Finding the Third Proportional to 62,124.47 and 129,784.78

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Solution

The third proportional to 62,124.47 and 129,784.78 is: 271,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,124.47 : 129,784.78 = 129,784.78 : x
  2. Step 2: Convert to fraction form
    62,124.47/129,784.78 = 129,784.78/x
  3. Step 3: Cross multiply
    62,124.47x = 129,784.78 × 129,784.78
  4. Step 4: Simplify right side
    62,124.47x = 16,844,089,444.11
  5. Step 5: Solve for x
    x = 16,844,089,444.11/62,124.47
  6. Step 6: Final answer
    x = 271,134.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.