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Finding the Third Proportional to 7,813.02 and 12,693.90

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Solution

The third proportional to 7,813.02 and 12,693.90 is: 20,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.02 : 12,693.90 = 12,693.90 : x
  2. Step 2: Convert to fraction form
    7,813.02/12,693.90 = 12,693.90/x
  3. Step 3: Cross multiply
    7,813.02x = 12,693.90 × 12,693.90
  4. Step 4: Simplify right side
    7,813.02x = 161,135,156.71
  5. Step 5: Solve for x
    x = 161,135,156.71/7,813.02
  6. Step 6: Final answer
    x = 20,623.93

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.