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Finding the Third Proportional to 778,862 and 1,137,657

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Solution

The third proportional to 778,862 and 1,137,657 is: 1,661,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,862 : 1,137,657 = 1,137,657 : x
  2. Step 2: Convert to fraction form
    778,862/1,137,657 = 1,137,657/x
  3. Step 3: Cross multiply
    778,862x = 1,137,657 × 1,137,657
  4. Step 4: Simplify right side
    778,862x = 1,294,263,449,649
  5. Step 5: Solve for x
    x = 1,294,263,449,649/778,862
  6. Step 6: Final answer
    x = 1,661,736.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.