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Finding the Third Proportional to 7,116.19 and 12,948.19

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Solution

The third proportional to 7,116.19 and 12,948.19 is: 23,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.19 : 12,948.19 = 12,948.19 : x
  2. Step 2: Convert to fraction form
    7,116.19/12,948.19 = 12,948.19/x
  3. Step 3: Cross multiply
    7,116.19x = 12,948.19 × 12,948.19
  4. Step 4: Simplify right side
    7,116.19x = 167,655,559.54
  5. Step 5: Solve for x
    x = 167,655,559.54/7,116.19
  6. Step 6: Final answer
    x = 23,559.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.