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Finding the Third Proportional to 1,071.35 and 1,669.68

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Solution

The third proportional to 1,071.35 and 1,669.68 is: 2,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.35 : 1,669.68 = 1,669.68 : x
  2. Step 2: Convert to fraction form
    1,071.35/1,669.68 = 1,669.68/x
  3. Step 3: Cross multiply
    1,071.35x = 1,669.68 × 1,669.68
  4. Step 4: Simplify right side
    1,071.35x = 2,787,817.21
  5. Step 5: Solve for x
    x = 2,787,817.21/1,071.35
  6. Step 6: Final answer
    x = 2,602.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.