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Finding the Third Proportional to 74,077 and 97,810

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Solution

The third proportional to 74,077 and 97,810 is: 129,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,077 : 97,810 = 97,810 : x
  2. Step 2: Convert to fraction form
    74,077/97,810 = 97,810/x
  3. Step 3: Cross multiply
    74,077x = 97,810 × 97,810
  4. Step 4: Simplify right side
    74,077x = 9,566,796,100
  5. Step 5: Solve for x
    x = 9,566,796,100/74,077
  6. Step 6: Final answer
    x = 129,146.65

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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.