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Finding the Third Proportional to 76,491 and 121,324.50

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Solution

The third proportional to 76,491 and 121,324.50 is: 192,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491 : 121,324.50 = 121,324.50 : x
  2. Step 2: Convert to fraction form
    76,491/121,324.50 = 121,324.50/x
  3. Step 3: Cross multiply
    76,491x = 121,324.50 × 121,324.50
  4. Step 4: Simplify right side
    76,491x = 14,719,634,300.25
  5. Step 5: Solve for x
    x = 14,719,634,300.25/76,491
  6. Step 6: Final answer
    x = 192,436.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.