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Finding the Third Proportional to 502,769 and 778,818

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Solution

The third proportional to 502,769 and 778,818 is: 1,206,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,769 : 778,818 = 778,818 : x
  2. Step 2: Convert to fraction form
    502,769/778,818 = 778,818/x
  3. Step 3: Cross multiply
    502,769x = 778,818 × 778,818
  4. Step 4: Simplify right side
    502,769x = 606,557,477,124
  5. Step 5: Solve for x
    x = 606,557,477,124/502,769
  6. Step 6: Final answer
    x = 1,206,433.72

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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.