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Finding the Third Proportional to 776,892 and 1,220,764

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Solution

The third proportional to 776,892 and 1,220,764 is: 1,918,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,892 : 1,220,764 = 1,220,764 : x
  2. Step 2: Convert to fraction form
    776,892/1,220,764 = 1,220,764/x
  3. Step 3: Cross multiply
    776,892x = 1,220,764 × 1,220,764
  4. Step 4: Simplify right side
    776,892x = 1,490,264,743,696
  5. Step 5: Solve for x
    x = 1,490,264,743,696/776,892
  6. Step 6: Final answer
    x = 1,918,239.27

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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.