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Finding the Third Proportional to 10,156.13 and 21,421.13

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Solution

The third proportional to 10,156.13 and 21,421.13 is: 45,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.13 : 21,421.13 = 21,421.13 : x
  2. Step 2: Convert to fraction form
    10,156.13/21,421.13 = 21,421.13/x
  3. Step 3: Cross multiply
    10,156.13x = 21,421.13 × 21,421.13
  4. Step 4: Simplify right side
    10,156.13x = 458,864,596.27
  5. Step 5: Solve for x
    x = 458,864,596.27/10,156.13
  6. Step 6: Final answer
    x = 45,181.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.