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Finding the Third Proportional to 778,458.09 and 1,684,855.69

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Solution

The third proportional to 778,458.09 and 1,684,855.69 is: 3,646,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,458.09 : 1,684,855.69 = 1,684,855.69 : x
  2. Step 2: Convert to fraction form
    778,458.09/1,684,855.69 = 1,684,855.69/x
  3. Step 3: Cross multiply
    778,458.09x = 1,684,855.69 × 1,684,855.69
  4. Step 4: Simplify right side
    778,458.09x = 2,838,738,687,701.10
  5. Step 5: Solve for x
    x = 2,838,738,687,701.10/778,458.09
  6. Step 6: Final answer
    x = 3,646,617.22

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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.