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Finding the Third Proportional to 2,283.19 and 2,594.53

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Solution

The third proportional to 2,283.19 and 2,594.53 is: 2,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.19 : 2,594.53 = 2,594.53 : x
  2. Step 2: Convert to fraction form
    2,283.19/2,594.53 = 2,594.53/x
  3. Step 3: Cross multiply
    2,283.19x = 2,594.53 × 2,594.53
  4. Step 4: Simplify right side
    2,283.19x = 6,731,592.41
  5. Step 5: Solve for x
    x = 6,731,592.41/2,283.19
  6. Step 6: Final answer
    x = 2,948.33

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.