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Finding the Third Proportional to 71,796 and 112,918.50

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Solution

The third proportional to 71,796 and 112,918.50 is: 177,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,796 : 112,918.50 = 112,918.50 : x
  2. Step 2: Convert to fraction form
    71,796/112,918.50 = 112,918.50/x
  3. Step 3: Cross multiply
    71,796x = 112,918.50 × 112,918.50
  4. Step 4: Simplify right side
    71,796x = 12,750,587,642.25
  5. Step 5: Solve for x
    x = 12,750,587,642.25/71,796
  6. Step 6: Final answer
    x = 177,594.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.