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Finding the Third Proportional to 7,678.13 and 14,158.13

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Solution

The third proportional to 7,678.13 and 14,158.13 is: 26,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.13 : 14,158.13 = 14,158.13 : x
  2. Step 2: Convert to fraction form
    7,678.13/14,158.13 = 14,158.13/x
  3. Step 3: Cross multiply
    7,678.13x = 14,158.13 × 14,158.13
  4. Step 4: Simplify right side
    7,678.13x = 200,452,503.52
  5. Step 5: Solve for x
    x = 200,452,503.52/7,678.13
  6. Step 6: Final answer
    x = 26,106.96

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.