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Finding the Third Proportional to 783,978 and 1,717,347

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Solution

The third proportional to 783,978 and 1,717,347 is: 3,761,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,978 : 1,717,347 = 1,717,347 : x
  2. Step 2: Convert to fraction form
    783,978/1,717,347 = 1,717,347/x
  3. Step 3: Cross multiply
    783,978x = 1,717,347 × 1,717,347
  4. Step 4: Simplify right side
    783,978x = 2,949,280,718,409
  5. Step 5: Solve for x
    x = 2,949,280,718,409/783,978
  6. Step 6: Final answer
    x = 3,761,943.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.