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Finding the Third Proportional to 30,309.96 and 65,866.22

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Solution

The third proportional to 30,309.96 and 65,866.22 is: 143,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.96 : 65,866.22 = 65,866.22 : x
  2. Step 2: Convert to fraction form
    30,309.96/65,866.22 = 65,866.22/x
  3. Step 3: Cross multiply
    30,309.96x = 65,866.22 × 65,866.22
  4. Step 4: Simplify right side
    30,309.96x = 4,338,358,772.42
  5. Step 5: Solve for x
    x = 4,338,358,772.42/30,309.96
  6. Step 6: Final answer
    x = 143,133.10

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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.