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Finding the Third Proportional to 1,437,169 and 3,129,489

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Solution

The third proportional to 1,437,169 and 3,129,489 is: 6,814,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,169 : 3,129,489 = 3,129,489 : x
  2. Step 2: Convert to fraction form
    1,437,169/3,129,489 = 3,129,489/x
  3. Step 3: Cross multiply
    1,437,169x = 3,129,489 × 3,129,489
  4. Step 4: Simplify right side
    1,437,169x = 9,793,701,401,121
  5. Step 5: Solve for x
    x = 9,793,701,401,121/1,437,169
  6. Step 6: Final answer
    x = 6,814,578.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.