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Finding the Third Proportional to 1,355.72 and 2,970.84

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Solution

The third proportional to 1,355.72 and 2,970.84 is: 6,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.72 : 2,970.84 = 2,970.84 : x
  2. Step 2: Convert to fraction form
    1,355.72/2,970.84 = 2,970.84/x
  3. Step 3: Cross multiply
    1,355.72x = 2,970.84 × 2,970.84
  4. Step 4: Simplify right side
    1,355.72x = 8,825,912.59
  5. Step 5: Solve for x
    x = 8,825,912.59/1,355.72
  6. Step 6: Final answer
    x = 6,510.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.