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Finding the Third Proportional to 719.35 and 1,565.40

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Solution

The third proportional to 719.35 and 1,565.40 is: 3,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.35 : 1,565.40 = 1,565.40 : x
  2. Step 2: Convert to fraction form
    719.35/1,565.40 = 1,565.40/x
  3. Step 3: Cross multiply
    719.35x = 1,565.40 × 1,565.40
  4. Step 4: Simplify right side
    719.35x = 2,450,486.81
  5. Step 5: Solve for x
    x = 2,450,486.81/719.35
  6. Step 6: Final answer
    x = 3,406.53

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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.