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Finding the Third Proportional to 553,678 and 899,225

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Solution

The third proportional to 553,678 and 899,225 is: 1,460,425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,678 : 899,225 = 899,225 : x
  2. Step 2: Convert to fraction form
    553,678/899,225 = 899,225/x
  3. Step 3: Cross multiply
    553,678x = 899,225 × 899,225
  4. Step 4: Simplify right side
    553,678x = 808,605,600,625
  5. Step 5: Solve for x
    x = 808,605,600,625/553,678
  6. Step 6: Final answer
    x = 1,460,425.74

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.