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Finding the Third Proportional to 101,056 and 152,854

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Solution

The third proportional to 101,056 and 152,854 is: 231,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,056 : 152,854 = 152,854 : x
  2. Step 2: Convert to fraction form
    101,056/152,854 = 152,854/x
  3. Step 3: Cross multiply
    101,056x = 152,854 × 152,854
  4. Step 4: Simplify right side
    101,056x = 23,364,345,316
  5. Step 5: Solve for x
    x = 23,364,345,316/101,056
  6. Step 6: Final answer
    x = 231,201.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.