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Finding the Third Proportional to 10,403.23 and 14,720.34

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Solution

The third proportional to 10,403.23 and 14,720.34 is: 20,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.23 : 14,720.34 = 14,720.34 : x
  2. Step 2: Convert to fraction form
    10,403.23/14,720.34 = 14,720.34/x
  3. Step 3: Cross multiply
    10,403.23x = 14,720.34 × 14,720.34
  4. Step 4: Simplify right side
    10,403.23x = 216,688,520.12
  5. Step 5: Solve for x
    x = 216,688,520.12/10,403.23
  6. Step 6: Final answer
    x = 20,828.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.