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Finding the Third Proportional to 58,617 and 90,821

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Solution

The third proportional to 58,617 and 90,821 is: 140,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,617 : 90,821 = 90,821 : x
  2. Step 2: Convert to fraction form
    58,617/90,821 = 90,821/x
  3. Step 3: Cross multiply
    58,617x = 90,821 × 90,821
  4. Step 4: Simplify right side
    58,617x = 8,248,454,041
  5. Step 5: Solve for x
    x = 8,248,454,041/58,617
  6. Step 6: Final answer
    x = 140,717.78

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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.