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Finding the Third Proportional to 10,478,810 and 22,905,184

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Solution

The third proportional to 10,478,810 and 22,905,184 is: 50,067,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478,810 : 22,905,184 = 22,905,184 : x
  2. Step 2: Convert to fraction form
    10,478,810/22,905,184 = 22,905,184/x
  3. Step 3: Cross multiply
    10,478,810x = 22,905,184 × 22,905,184
  4. Step 4: Simplify right side
    10,478,810x = 524,647,454,073,856
  5. Step 5: Solve for x
    x = 524,647,454,073,856/10,478,810
  6. Step 6: Final answer
    x = 50,067,465.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.