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Finding the Third Proportional to 58,450 and 83,578

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Solution

The third proportional to 58,450 and 83,578 is: 119,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,450 : 83,578 = 83,578 : x
  2. Step 2: Convert to fraction form
    58,450/83,578 = 83,578/x
  3. Step 3: Cross multiply
    58,450x = 83,578 × 83,578
  4. Step 4: Simplify right side
    58,450x = 6,985,282,084
  5. Step 5: Solve for x
    x = 6,985,282,084/58,450
  6. Step 6: Final answer
    x = 119,508.68

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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.