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Finding the Third Proportional to 58,665 and 90,879

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Solution

The third proportional to 58,665 and 90,879 is: 140,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,665 : 90,879 = 90,879 : x
  2. Step 2: Convert to fraction form
    58,665/90,879 = 90,879/x
  3. Step 3: Cross multiply
    58,665x = 90,879 × 90,879
  4. Step 4: Simplify right side
    58,665x = 8,258,992,641
  5. Step 5: Solve for x
    x = 8,258,992,641/58,665
  6. Step 6: Final answer
    x = 140,782.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.