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Finding the Third Proportional to 291,705 and 640,434

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Solution

The third proportional to 291,705 and 640,434 is: 1,406,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,705 : 640,434 = 640,434 : x
  2. Step 2: Convert to fraction form
    291,705/640,434 = 640,434/x
  3. Step 3: Cross multiply
    291,705x = 640,434 × 640,434
  4. Step 4: Simplify right side
    291,705x = 410,155,708,356
  5. Step 5: Solve for x
    x = 410,155,708,356/291,705
  6. Step 6: Final answer
    x = 1,406,063.35

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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.