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Finding the Third Proportional to 291,699 and 640,422

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Solution

The third proportional to 291,699 and 640,422 is: 1,406,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,699 : 640,422 = 640,422 : x
  2. Step 2: Convert to fraction form
    291,699/640,422 = 640,422/x
  3. Step 3: Cross multiply
    291,699x = 640,422 × 640,422
  4. Step 4: Simplify right side
    291,699x = 410,140,338,084
  5. Step 5: Solve for x
    x = 410,140,338,084/291,699
  6. Step 6: Final answer
    x = 1,406,039.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.