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Finding the Third Proportional to 7,808.63 and 12,077.91

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Solution

The third proportional to 7,808.63 and 12,077.91 is: 18,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.63 : 12,077.91 = 12,077.91 : x
  2. Step 2: Convert to fraction form
    7,808.63/12,077.91 = 12,077.91/x
  3. Step 3: Cross multiply
    7,808.63x = 12,077.91 × 12,077.91
  4. Step 4: Simplify right side
    7,808.63x = 145,875,819.38
  5. Step 5: Solve for x
    x = 145,875,819.38/7,808.63
  6. Step 6: Final answer
    x = 18,681.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.