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Finding the Third Proportional to 285,410 and 608,822

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Solution

The third proportional to 285,410 and 608,822 is: 1,298,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,410 : 608,822 = 608,822 : x
  2. Step 2: Convert to fraction form
    285,410/608,822 = 608,822/x
  3. Step 3: Cross multiply
    285,410x = 608,822 × 608,822
  4. Step 4: Simplify right side
    285,410x = 370,664,227,684
  5. Step 5: Solve for x
    x = 370,664,227,684/285,410
  6. Step 6: Final answer
    x = 1,298,707.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.