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Finding the Third Proportional to 268,428 and 584,820

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Solution

The third proportional to 268,428 and 584,820 is: 1,274,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,428 : 584,820 = 584,820 : x
  2. Step 2: Convert to fraction form
    268,428/584,820 = 584,820/x
  3. Step 3: Cross multiply
    268,428x = 584,820 × 584,820
  4. Step 4: Simplify right side
    268,428x = 342,014,432,400
  5. Step 5: Solve for x
    x = 342,014,432,400/268,428
  6. Step 6: Final answer
    x = 1,274,138.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.