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Finding the Third Proportional to 6,011.40 and 9,331.06

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Solution

The third proportional to 6,011.40 and 9,331.06 is: 14,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.40 : 9,331.06 = 9,331.06 : x
  2. Step 2: Convert to fraction form
    6,011.40/9,331.06 = 9,331.06/x
  3. Step 3: Cross multiply
    6,011.40x = 9,331.06 × 9,331.06
  4. Step 4: Simplify right side
    6,011.40x = 87,068,636.26
  5. Step 5: Solve for x
    x = 87,068,636.26/6,011.40
  6. Step 6: Final answer
    x = 14,483.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.