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Finding the Third Proportional to 85,088 and 121,791

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Solution

The third proportional to 85,088 and 121,791 is: 174,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,088 : 121,791 = 121,791 : x
  2. Step 2: Convert to fraction form
    85,088/121,791 = 121,791/x
  3. Step 3: Cross multiply
    85,088x = 121,791 × 121,791
  4. Step 4: Simplify right side
    85,088x = 14,833,047,681
  5. Step 5: Solve for x
    x = 14,833,047,681/85,088
  6. Step 6: Final answer
    x = 174,325.96

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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.