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Finding the Third Proportional to 276,778 and 413,726

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Solution

The third proportional to 276,778 and 413,726 is: 618,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,778 : 413,726 = 413,726 : x
  2. Step 2: Convert to fraction form
    276,778/413,726 = 413,726/x
  3. Step 3: Cross multiply
    276,778x = 413,726 × 413,726
  4. Step 4: Simplify right side
    276,778x = 171,169,203,076
  5. Step 5: Solve for x
    x = 171,169,203,076/276,778
  6. Step 6: Final answer
    x = 618,435.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.