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Finding the Third Proportional to 4,278,860 and 9,514,411

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Solution

The third proportional to 4,278,860 and 9,514,411 is: 21,156,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278,860 : 9,514,411 = 9,514,411 : x
  2. Step 2: Convert to fraction form
    4,278,860/9,514,411 = 9,514,411/x
  3. Step 3: Cross multiply
    4,278,860x = 9,514,411 × 9,514,411
  4. Step 4: Simplify right side
    4,278,860x = 90,524,016,676,921
  5. Step 5: Solve for x
    x = 90,524,016,676,921/4,278,860
  6. Step 6: Final answer
    x = 21,156,106.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.