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Finding the Third Proportional to 608,628 and 890,406

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Solution

The third proportional to 608,628 and 890,406 is: 1,302,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,628 : 890,406 = 890,406 : x
  2. Step 2: Convert to fraction form
    608,628/890,406 = 890,406/x
  3. Step 3: Cross multiply
    608,628x = 890,406 × 890,406
  4. Step 4: Simplify right side
    608,628x = 792,822,844,836
  5. Step 5: Solve for x
    x = 792,822,844,836/608,628
  6. Step 6: Final answer
    x = 1,302,639.45

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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.