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Finding the Third Proportional to 27,902.81 and 39,988.69

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Solution

The third proportional to 27,902.81 and 39,988.69 is: 57,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.81 : 39,988.69 = 39,988.69 : x
  2. Step 2: Convert to fraction form
    27,902.81/39,988.69 = 39,988.69/x
  3. Step 3: Cross multiply
    27,902.81x = 39,988.69 × 39,988.69
  4. Step 4: Simplify right side
    27,902.81x = 1,599,095,127.97
  5. Step 5: Solve for x
    x = 1,599,095,127.97/27,902.81
  6. Step 6: Final answer
    x = 57,309.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.