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Finding the Third Proportional to 776,380 and 1,646,071

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Solution

The third proportional to 776,380 and 1,646,071 is: 3,489,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,380 : 1,646,071 = 1,646,071 : x
  2. Step 2: Convert to fraction form
    776,380/1,646,071 = 1,646,071/x
  3. Step 3: Cross multiply
    776,380x = 1,646,071 × 1,646,071
  4. Step 4: Simplify right side
    776,380x = 2,709,549,737,041
  5. Step 5: Solve for x
    x = 2,709,549,737,041/776,380
  6. Step 6: Final answer
    x = 3,489,978.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.