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Finding the Third Proportional to 1,307.81 and 3,102.47

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Solution

The third proportional to 1,307.81 and 3,102.47 is: 7,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.81 : 3,102.47 = 3,102.47 : x
  2. Step 2: Convert to fraction form
    1,307.81/3,102.47 = 3,102.47/x
  3. Step 3: Cross multiply
    1,307.81x = 3,102.47 × 3,102.47
  4. Step 4: Simplify right side
    1,307.81x = 9,625,312.34
  5. Step 5: Solve for x
    x = 9,625,312.34/1,307.81
  6. Step 6: Final answer
    x = 7,359.86

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.