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Finding the Third Proportional to 18,310 and 39,091

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Solution

The third proportional to 18,310 and 39,091 is: 83,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,310 : 39,091 = 39,091 : x
  2. Step 2: Convert to fraction form
    18,310/39,091 = 39,091/x
  3. Step 3: Cross multiply
    18,310x = 39,091 × 39,091
  4. Step 4: Simplify right side
    18,310x = 1,528,106,281
  5. Step 5: Solve for x
    x = 1,528,106,281/18,310
  6. Step 6: Final answer
    x = 83,457.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.