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Finding the Third Proportional to 504,580 and 840,936

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Solution

The third proportional to 504,580 and 840,936 is: 1,401,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,580 : 840,936 = 840,936 : x
  2. Step 2: Convert to fraction form
    504,580/840,936 = 840,936/x
  3. Step 3: Cross multiply
    504,580x = 840,936 × 840,936
  4. Step 4: Simplify right side
    504,580x = 707,173,356,096
  5. Step 5: Solve for x
    x = 707,173,356,096/504,580
  6. Step 6: Final answer
    x = 1,401,508.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.