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Finding the Third Proportional to 642,978 and 1,396,764

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Solution

The third proportional to 642,978 and 1,396,764 is: 3,034,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,978 : 1,396,764 = 1,396,764 : x
  2. Step 2: Convert to fraction form
    642,978/1,396,764 = 1,396,764/x
  3. Step 3: Cross multiply
    642,978x = 1,396,764 × 1,396,764
  4. Step 4: Simplify right side
    642,978x = 1,950,949,671,696
  5. Step 5: Solve for x
    x = 1,950,949,671,696/642,978
  6. Step 6: Final answer
    x = 3,034,240.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.