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Finding the Third Proportional to 719.53 and 1,569.16

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Solution

The third proportional to 719.53 and 1,569.16 is: 3,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.53 : 1,569.16 = 1,569.16 : x
  2. Step 2: Convert to fraction form
    719.53/1,569.16 = 1,569.16/x
  3. Step 3: Cross multiply
    719.53x = 1,569.16 × 1,569.16
  4. Step 4: Simplify right side
    719.53x = 2,462,251.34
  5. Step 5: Solve for x
    x = 2,462,251.34/719.53
  6. Step 6: Final answer
    x = 3,422.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.