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Finding the Third Proportional to 276,368 and 426,768

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Solution

The third proportional to 276,368 and 426,768 is: 659,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,368 : 426,768 = 426,768 : x
  2. Step 2: Convert to fraction form
    276,368/426,768 = 426,768/x
  3. Step 3: Cross multiply
    276,368x = 426,768 × 426,768
  4. Step 4: Simplify right side
    276,368x = 182,130,925,824
  5. Step 5: Solve for x
    x = 182,130,925,824/276,368
  6. Step 6: Final answer
    x = 659,015.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.