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Finding the Third Proportional to 608,624 and 890,400

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Solution

The third proportional to 608,624 and 890,400 is: 1,302,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,624 : 890,400 = 890,400 : x
  2. Step 2: Convert to fraction form
    608,624/890,400 = 890,400/x
  3. Step 3: Cross multiply
    608,624x = 890,400 × 890,400
  4. Step 4: Simplify right side
    608,624x = 792,812,160,000
  5. Step 5: Solve for x
    x = 792,812,160,000/608,624
  6. Step 6: Final answer
    x = 1,302,630.46

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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.