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Finding the Third Proportional to 1,390.13 and 3,010.88

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Solution

The third proportional to 1,390.13 and 3,010.88 is: 6,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.13 : 3,010.88 = 3,010.88 : x
  2. Step 2: Convert to fraction form
    1,390.13/3,010.88 = 3,010.88/x
  3. Step 3: Cross multiply
    1,390.13x = 3,010.88 × 3,010.88
  4. Step 4: Simplify right side
    1,390.13x = 9,065,368.27
  5. Step 5: Solve for x
    x = 9,065,368.27/1,390.13
  6. Step 6: Final answer
    x = 6,521.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.