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Finding the Third Proportional to 7,830 and 16,368.75

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Solution

The third proportional to 7,830 and 16,368.75 is: 34,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 16,368.75 = 16,368.75 : x
  2. Step 2: Convert to fraction form
    7,830/16,368.75 = 16,368.75/x
  3. Step 3: Cross multiply
    7,830x = 16,368.75 × 16,368.75
  4. Step 4: Simplify right side
    7,830x = 267,935,976.56
  5. Step 5: Solve for x
    x = 267,935,976.56/7,830
  6. Step 6: Final answer
    x = 34,219.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.