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Finding the Third Proportional to 74,079 and 97,813

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Solution

The third proportional to 74,079 and 97,813 is: 129,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,079 : 97,813 = 97,813 : x
  2. Step 2: Convert to fraction form
    74,079/97,813 = 97,813/x
  3. Step 3: Cross multiply
    74,079x = 97,813 × 97,813
  4. Step 4: Simplify right side
    74,079x = 9,567,382,969
  5. Step 5: Solve for x
    x = 9,567,382,969/74,079
  6. Step 6: Final answer
    x = 129,151.08

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.