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Finding the Third Proportional to 2,790.05 and 4,221.07

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Solution

The third proportional to 2,790.05 and 4,221.07 is: 6,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.05 : 4,221.07 = 4,221.07 : x
  2. Step 2: Convert to fraction form
    2,790.05/4,221.07 = 4,221.07/x
  3. Step 3: Cross multiply
    2,790.05x = 4,221.07 × 4,221.07
  4. Step 4: Simplify right side
    2,790.05x = 17,817,434.58
  5. Step 5: Solve for x
    x = 17,817,434.58/2,790.05
  6. Step 6: Final answer
    x = 6,386.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.