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Finding the Third Proportional to 58,454 and 80,390

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Solution

The third proportional to 58,454 and 80,390 is: 110,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,454 : 80,390 = 80,390 : x
  2. Step 2: Convert to fraction form
    58,454/80,390 = 80,390/x
  3. Step 3: Cross multiply
    58,454x = 80,390 × 80,390
  4. Step 4: Simplify right side
    58,454x = 6,462,552,100
  5. Step 5: Solve for x
    x = 6,462,552,100/58,454
  6. Step 6: Final answer
    x = 110,557.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.