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Finding the Third Proportional to 10,210.50 and 20,853

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Solution

The third proportional to 10,210.50 and 20,853 is: 42,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.50 : 20,853 = 20,853 : x
  2. Step 2: Convert to fraction form
    10,210.50/20,853 = 20,853/x
  3. Step 3: Cross multiply
    10,210.50x = 20,853 × 20,853
  4. Step 4: Simplify right side
    10,210.50x = 434,847,609
  5. Step 5: Solve for x
    x = 434,847,609/10,210.50
  6. Step 6: Final answer
    x = 42,588.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.