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Finding the Third Proportional to 291,704 and 640,430

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Solution

The third proportional to 291,704 and 640,430 is: 1,406,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,704 : 640,430 = 640,430 : x
  2. Step 2: Convert to fraction form
    291,704/640,430 = 640,430/x
  3. Step 3: Cross multiply
    291,704x = 640,430 × 640,430
  4. Step 4: Simplify right side
    291,704x = 410,150,584,900
  5. Step 5: Solve for x
    x = 410,150,584,900/291,704
  6. Step 6: Final answer
    x = 1,406,050.60

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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.