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Finding the Third Proportional to 14,853 and 30,930.75

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Solution

The third proportional to 14,853 and 30,930.75 is: 64,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853 : 30,930.75 = 30,930.75 : x
  2. Step 2: Convert to fraction form
    14,853/30,930.75 = 30,930.75/x
  3. Step 3: Cross multiply
    14,853x = 30,930.75 × 30,930.75
  4. Step 4: Simplify right side
    14,853x = 956,711,295.56
  5. Step 5: Solve for x
    x = 956,711,295.56/14,853
  6. Step 6: Final answer
    x = 64,411.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.