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Finding the Third Proportional to 504,582 and 840,939

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Solution

The third proportional to 504,582 and 840,939 is: 1,401,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,582 : 840,939 = 840,939 : x
  2. Step 2: Convert to fraction form
    504,582/840,939 = 840,939/x
  3. Step 3: Cross multiply
    504,582x = 840,939 × 840,939
  4. Step 4: Simplify right side
    504,582x = 707,178,401,721
  5. Step 5: Solve for x
    x = 707,178,401,721/504,582
  6. Step 6: Final answer
    x = 1,401,513.34

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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.