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Finding the Third Proportional to 608,639 and 890,422

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Solution

The third proportional to 608,639 and 890,422 is: 1,302,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,639 : 890,422 = 890,422 : x
  2. Step 2: Convert to fraction form
    608,639/890,422 = 890,422/x
  3. Step 3: Cross multiply
    608,639x = 890,422 × 890,422
  4. Step 4: Simplify right side
    608,639x = 792,851,338,084
  5. Step 5: Solve for x
    x = 792,851,338,084/608,639
  6. Step 6: Final answer
    x = 1,302,662.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.