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Finding the Third Proportional to 78,772 and 115,854

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Solution

The third proportional to 78,772 and 115,854 is: 170,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772 : 115,854 = 115,854 : x
  2. Step 2: Convert to fraction form
    78,772/115,854 = 115,854/x
  3. Step 3: Cross multiply
    78,772x = 115,854 × 115,854
  4. Step 4: Simplify right side
    78,772x = 13,422,149,316
  5. Step 5: Solve for x
    x = 13,422,149,316/78,772
  6. Step 6: Final answer
    x = 170,392.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.