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Finding the Third Proportional to 321,718 and 500,961

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Solution

The third proportional to 321,718 and 500,961 is: 780,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,718 : 500,961 = 500,961 : x
  2. Step 2: Convert to fraction form
    321,718/500,961 = 500,961/x
  3. Step 3: Cross multiply
    321,718x = 500,961 × 500,961
  4. Step 4: Simplify right side
    321,718x = 250,961,923,521
  5. Step 5: Solve for x
    x = 250,961,923,521/321,718
  6. Step 6: Final answer
    x = 780,068.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.