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Finding the Third Proportional to 53,578 and 80,854

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Solution

The third proportional to 53,578 and 80,854 is: 122,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,578 : 80,854 = 80,854 : x
  2. Step 2: Convert to fraction form
    53,578/80,854 = 80,854/x
  3. Step 3: Cross multiply
    53,578x = 80,854 × 80,854
  4. Step 4: Simplify right side
    53,578x = 6,537,369,316
  5. Step 5: Solve for x
    x = 6,537,369,316/53,578
  6. Step 6: Final answer
    x = 122,015.93

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Why These Related Problems?

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