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Finding the Third Proportional to 778,522 and 1,689,965

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Solution

The third proportional to 778,522 and 1,689,965 is: 3,668,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,522 : 1,689,965 = 1,689,965 : x
  2. Step 2: Convert to fraction form
    778,522/1,689,965 = 1,689,965/x
  3. Step 3: Cross multiply
    778,522x = 1,689,965 × 1,689,965
  4. Step 4: Simplify right side
    778,522x = 2,855,981,701,225
  5. Step 5: Solve for x
    x = 2,855,981,701,225/778,522
  6. Step 6: Final answer
    x = 3,668,466.27

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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.