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Finding the Third Proportional to 2,045,196 and 3,201,282

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Solution

The third proportional to 2,045,196 and 3,201,282 is: 5,010,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,196 : 3,201,282 = 3,201,282 : x
  2. Step 2: Convert to fraction form
    2,045,196/3,201,282 = 3,201,282/x
  3. Step 3: Cross multiply
    2,045,196x = 3,201,282 × 3,201,282
  4. Step 4: Simplify right side
    2,045,196x = 10,248,206,443,524
  5. Step 5: Solve for x
    x = 10,248,206,443,524/2,045,196
  6. Step 6: Final answer
    x = 5,010,867.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.