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Finding the Third Proportional to 94,602 and 141,078

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Solution

The third proportional to 94,602 and 141,078 is: 210,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,602 : 141,078 = 141,078 : x
  2. Step 2: Convert to fraction form
    94,602/141,078 = 141,078/x
  3. Step 3: Cross multiply
    94,602x = 141,078 × 141,078
  4. Step 4: Simplify right side
    94,602x = 19,903,002,084
  5. Step 5: Solve for x
    x = 19,903,002,084/94,602
  6. Step 6: Final answer
    x = 210,386.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.