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Finding the Third Proportional to 296,787 and 640,230

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Solution

The third proportional to 296,787 and 640,230 is: 1,381,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,787 : 640,230 = 640,230 : x
  2. Step 2: Convert to fraction form
    296,787/640,230 = 640,230/x
  3. Step 3: Cross multiply
    296,787x = 640,230 × 640,230
  4. Step 4: Simplify right side
    296,787x = 409,894,452,900
  5. Step 5: Solve for x
    x = 409,894,452,900/296,787
  6. Step 6: Final answer
    x = 1,381,106.49

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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.