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Finding the Third Proportional to 30,309 and 65,864.19

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Solution

The third proportional to 30,309 and 65,864.19 is: 143,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309 : 65,864.19 = 65,864.19 : x
  2. Step 2: Convert to fraction form
    30,309/65,864.19 = 65,864.19/x
  3. Step 3: Cross multiply
    30,309x = 65,864.19 × 65,864.19
  4. Step 4: Simplify right side
    30,309x = 4,338,091,195.04
  5. Step 5: Solve for x
    x = 4,338,091,195.04/30,309
  6. Step 6: Final answer
    x = 143,128.81

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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.