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Finding the Third Proportional to 776,769 and 1,205,478

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Solution

The third proportional to 776,769 and 1,205,478 is: 1,870,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,769 : 1,205,478 = 1,205,478 : x
  2. Step 2: Convert to fraction form
    776,769/1,205,478 = 1,205,478/x
  3. Step 3: Cross multiply
    776,769x = 1,205,478 × 1,205,478
  4. Step 4: Simplify right side
    776,769x = 1,453,177,208,484
  5. Step 5: Solve for x
    x = 1,453,177,208,484/776,769
  6. Step 6: Final answer
    x = 1,870,797.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.