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Finding the Third Proportional to 7,126.31 and 15,482.81

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Solution

The third proportional to 7,126.31 and 15,482.81 is: 33,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.31 : 15,482.81 = 15,482.81 : x
  2. Step 2: Convert to fraction form
    7,126.31/15,482.81 = 15,482.81/x
  3. Step 3: Cross multiply
    7,126.31x = 15,482.81 × 15,482.81
  4. Step 4: Simplify right side
    7,126.31x = 239,717,482.91
  5. Step 5: Solve for x
    x = 239,717,482.91/7,126.31
  6. Step 6: Final answer
    x = 33,638.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.