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Finding the Third Proportional to 719.81 and 1,569.69

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Solution

The third proportional to 719.81 and 1,569.69 is: 3,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.81 : 1,569.69 = 1,569.69 : x
  2. Step 2: Convert to fraction form
    719.81/1,569.69 = 1,569.69/x
  3. Step 3: Cross multiply
    719.81x = 1,569.69 × 1,569.69
  4. Step 4: Simplify right side
    719.81x = 2,463,918.85
  5. Step 5: Solve for x
    x = 2,463,918.85/719.81
  6. Step 6: Final answer
    x = 3,423.00

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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.