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Finding the Third Proportional to 81,018 and 118,791

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Solution

The third proportional to 81,018 and 118,791 is: 174,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,018 : 118,791 = 118,791 : x
  2. Step 2: Convert to fraction form
    81,018/118,791 = 118,791/x
  3. Step 3: Cross multiply
    81,018x = 118,791 × 118,791
  4. Step 4: Simplify right side
    81,018x = 14,111,301,681
  5. Step 5: Solve for x
    x = 14,111,301,681/81,018
  6. Step 6: Final answer
    x = 174,174.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.