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Finding the Third Proportional to 778,520 and 1,689,961

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Solution

The third proportional to 778,520 and 1,689,961 is: 3,668,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,520 : 1,689,961 = 1,689,961 : x
  2. Step 2: Convert to fraction form
    778,520/1,689,961 = 1,689,961/x
  3. Step 3: Cross multiply
    778,520x = 1,689,961 × 1,689,961
  4. Step 4: Simplify right side
    778,520x = 2,855,968,181,521
  5. Step 5: Solve for x
    x = 2,855,968,181,521/778,520
  6. Step 6: Final answer
    x = 3,668,458.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.