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Finding the Third Proportional to 1,329.90 and 2,124.60

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Solution

The third proportional to 1,329.90 and 2,124.60 is: 3,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.90 : 2,124.60 = 2,124.60 : x
  2. Step 2: Convert to fraction form
    1,329.90/2,124.60 = 2,124.60/x
  3. Step 3: Cross multiply
    1,329.90x = 2,124.60 × 2,124.60
  4. Step 4: Simplify right side
    1,329.90x = 4,513,909.37
  5. Step 5: Solve for x
    x = 4,513,909.37/1,329.90
  6. Step 6: Final answer
    x = 3,394.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.