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Finding the Third Proportional to 621,068 and 940,919

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Solution

The third proportional to 621,068 and 940,919 is: 1,425,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,068 : 940,919 = 940,919 : x
  2. Step 2: Convert to fraction form
    621,068/940,919 = 940,919/x
  3. Step 3: Cross multiply
    621,068x = 940,919 × 940,919
  4. Step 4: Simplify right side
    621,068x = 885,328,564,561
  5. Step 5: Solve for x
    x = 885,328,564,561/621,068
  6. Step 6: Final answer
    x = 1,425,493.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.