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Finding the Third Proportional to 778,363.50 and 1,709,961

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Solution

The third proportional to 778,363.50 and 1,709,961 is: 3,756,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,363.50 : 1,709,961 = 1,709,961 : x
  2. Step 2: Convert to fraction form
    778,363.50/1,709,961 = 1,709,961/x
  3. Step 3: Cross multiply
    778,363.50x = 1,709,961 × 1,709,961
  4. Step 4: Simplify right side
    778,363.50x = 2,923,966,621,521
  5. Step 5: Solve for x
    x = 2,923,966,621,521/778,363.50
  6. Step 6: Final answer
    x = 3,756,556.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.