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Finding the Third Proportional to 276,386 and 585,986

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Solution

The third proportional to 276,386 and 585,986 is: 1,242,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,386 : 585,986 = 585,986 : x
  2. Step 2: Convert to fraction form
    276,386/585,986 = 585,986/x
  3. Step 3: Cross multiply
    276,386x = 585,986 × 585,986
  4. Step 4: Simplify right side
    276,386x = 343,379,592,196
  5. Step 5: Solve for x
    x = 343,379,592,196/276,386
  6. Step 6: Final answer
    x = 1,242,391.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.