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Finding the Third Proportional to 268,422 and 578,875

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Solution

The third proportional to 268,422 and 578,875 is: 1,248,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,422 : 578,875 = 578,875 : x
  2. Step 2: Convert to fraction form
    268,422/578,875 = 578,875/x
  3. Step 3: Cross multiply
    268,422x = 578,875 × 578,875
  4. Step 4: Simplify right side
    268,422x = 335,096,265,625
  5. Step 5: Solve for x
    x = 335,096,265,625/268,422
  6. Step 6: Final answer
    x = 1,248,393.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.