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Finding the Third Proportional to 778,843 and 1,178,657

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Solution

The third proportional to 778,843 and 1,178,657 is: 1,783,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,843 : 1,178,657 = 1,178,657 : x
  2. Step 2: Convert to fraction form
    778,843/1,178,657 = 1,178,657/x
  3. Step 3: Cross multiply
    778,843x = 1,178,657 × 1,178,657
  4. Step 4: Simplify right side
    778,843x = 1,389,232,323,649
  5. Step 5: Solve for x
    x = 1,389,232,323,649/778,843
  6. Step 6: Final answer
    x = 1,783,712.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.