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Finding the Third Proportional to 268,390 and 578,814

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Solution

The third proportional to 268,390 and 578,814 is: 1,248,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,390 : 578,814 = 578,814 : x
  2. Step 2: Convert to fraction form
    268,390/578,814 = 578,814/x
  3. Step 3: Cross multiply
    268,390x = 578,814 × 578,814
  4. Step 4: Simplify right side
    268,390x = 335,025,646,596
  5. Step 5: Solve for x
    x = 335,025,646,596/268,390
  6. Step 6: Final answer
    x = 1,248,279.17

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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.