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Finding the Third Proportional to 719.75 and 1,569.77

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Solution

The third proportional to 719.75 and 1,569.77 is: 3,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.75 : 1,569.77 = 1,569.77 : x
  2. Step 2: Convert to fraction form
    719.75/1,569.77 = 1,569.77/x
  3. Step 3: Cross multiply
    719.75x = 1,569.77 × 1,569.77
  4. Step 4: Simplify right side
    719.75x = 2,464,179.45
  5. Step 5: Solve for x
    x = 2,464,179.45/719.75
  6. Step 6: Final answer
    x = 3,423.68

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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.