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Finding the Third Proportional to 778,841 and 1,178,654

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Solution

The third proportional to 778,841 and 1,178,654 is: 1,783,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,841 : 1,178,654 = 1,178,654 : x
  2. Step 2: Convert to fraction form
    778,841/1,178,654 = 1,178,654/x
  3. Step 3: Cross multiply
    778,841x = 1,178,654 × 1,178,654
  4. Step 4: Simplify right side
    778,841x = 1,389,225,251,716
  5. Step 5: Solve for x
    x = 1,389,225,251,716/778,841
  6. Step 6: Final answer
    x = 1,783,708.42

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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.