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Finding the Third Proportional to 7,813.13 and 12,479.06

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Solution

The third proportional to 7,813.13 and 12,479.06 is: 19,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.13 : 12,479.06 = 12,479.06 : x
  2. Step 2: Convert to fraction form
    7,813.13/12,479.06 = 12,479.06/x
  3. Step 3: Cross multiply
    7,813.13x = 12,479.06 × 12,479.06
  4. Step 4: Simplify right side
    7,813.13x = 155,727,000.88
  5. Step 5: Solve for x
    x = 155,727,000.88/7,813.13
  6. Step 6: Final answer
    x = 19,931.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.