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Finding the Third Proportional to 638,718 and 1,001,961

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Solution

The third proportional to 638,718 and 1,001,961 is: 1,571,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,718 : 1,001,961 = 1,001,961 : x
  2. Step 2: Convert to fraction form
    638,718/1,001,961 = 1,001,961/x
  3. Step 3: Cross multiply
    638,718x = 1,001,961 × 1,001,961
  4. Step 4: Simplify right side
    638,718x = 1,003,925,845,521
  5. Step 5: Solve for x
    x = 1,003,925,845,521/638,718
  6. Step 6: Final answer
    x = 1,571,782.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.