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Finding the Third Proportional to 778,438 and 1,684,816

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Solution

The third proportional to 778,438 and 1,684,816 is: 3,646,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,438 : 1,684,816 = 1,684,816 : x
  2. Step 2: Convert to fraction form
    778,438/1,684,816 = 1,684,816/x
  3. Step 3: Cross multiply
    778,438x = 1,684,816 × 1,684,816
  4. Step 4: Simplify right side
    778,438x = 2,838,604,953,856
  5. Step 5: Solve for x
    x = 2,838,604,953,856/778,438
  6. Step 6: Final answer
    x = 3,646,539.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.