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Finding the Third Proportional to 1,531.17 and 3,312.93

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Solution

The third proportional to 1,531.17 and 3,312.93 is: 7,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.17 : 3,312.93 = 3,312.93 : x
  2. Step 2: Convert to fraction form
    1,531.17/3,312.93 = 3,312.93/x
  3. Step 3: Cross multiply
    1,531.17x = 3,312.93 × 3,312.93
  4. Step 4: Simplify right side
    1,531.17x = 10,975,516.06
  5. Step 5: Solve for x
    x = 10,975,516.06/1,531.17
  6. Step 6: Final answer
    x = 7,168.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.