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Finding the Third Proportional to 2,121,210 and 4,581,288

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Solution

The third proportional to 2,121,210 and 4,581,288 is: 9,894,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,210 : 4,581,288 = 4,581,288 : x
  2. Step 2: Convert to fraction form
    2,121,210/4,581,288 = 4,581,288/x
  3. Step 3: Cross multiply
    2,121,210x = 4,581,288 × 4,581,288
  4. Step 4: Simplify right side
    2,121,210x = 20,988,199,738,944
  5. Step 5: Solve for x
    x = 20,988,199,738,944/2,121,210
  6. Step 6: Final answer
    x = 9,894,446.91

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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.