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Finding the Third Proportional to 645.23 and 1,415.72

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Solution

The third proportional to 645.23 and 1,415.72 is: 3,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.23 : 1,415.72 = 1,415.72 : x
  2. Step 2: Convert to fraction form
    645.23/1,415.72 = 1,415.72/x
  3. Step 3: Cross multiply
    645.23x = 1,415.72 × 1,415.72
  4. Step 4: Simplify right side
    645.23x = 2,004,259.58
  5. Step 5: Solve for x
    x = 2,004,259.58/645.23
  6. Step 6: Final answer
    x = 3,106.25

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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.