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Finding the Third Proportional to 276,778 and 586,361

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Solution

The third proportional to 276,778 and 586,361 is: 1,242,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,778 : 586,361 = 586,361 : x
  2. Step 2: Convert to fraction form
    276,778/586,361 = 586,361/x
  3. Step 3: Cross multiply
    276,778x = 586,361 × 586,361
  4. Step 4: Simplify right side
    276,778x = 343,819,222,321
  5. Step 5: Solve for x
    x = 343,819,222,321/276,778
  6. Step 6: Final answer
    x = 1,242,220.20

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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.