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Finding the Third Proportional to 641.19 and 1,402.06

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Solution

The third proportional to 641.19 and 1,402.06 is: 3,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.19 : 1,402.06 = 1,402.06 : x
  2. Step 2: Convert to fraction form
    641.19/1,402.06 = 1,402.06/x
  3. Step 3: Cross multiply
    641.19x = 1,402.06 × 1,402.06
  4. Step 4: Simplify right side
    641.19x = 1,965,779.25
  5. Step 5: Solve for x
    x = 1,965,779.25/641.19
  6. Step 6: Final answer
    x = 3,065.84

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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.