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Finding the Third Proportional to 296,786 and 640,228

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Solution

The third proportional to 296,786 and 640,228 is: 1,381,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,786 : 640,228 = 640,228 : x
  2. Step 2: Convert to fraction form
    296,786/640,228 = 640,228/x
  3. Step 3: Cross multiply
    296,786x = 640,228 × 640,228
  4. Step 4: Simplify right side
    296,786x = 409,891,891,984
  5. Step 5: Solve for x
    x = 409,891,891,984/296,786
  6. Step 6: Final answer
    x = 1,381,102.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.