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Finding the Third Proportional to 10,216.13 and 11,547.56

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Solution

The third proportional to 10,216.13 and 11,547.56 is: 13,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.13 : 11,547.56 = 11,547.56 : x
  2. Step 2: Convert to fraction form
    10,216.13/11,547.56 = 11,547.56/x
  3. Step 3: Cross multiply
    10,216.13x = 11,547.56 × 11,547.56
  4. Step 4: Simplify right side
    10,216.13x = 133,346,199.69
  5. Step 5: Solve for x
    x = 133,346,199.69/10,216.13
  6. Step 6: Final answer
    x = 13,052.52

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.