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Finding the Third Proportional to 329,812 and 706,264

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Solution

The third proportional to 329,812 and 706,264 is: 1,512,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,812 : 706,264 = 706,264 : x
  2. Step 2: Convert to fraction form
    329,812/706,264 = 706,264/x
  3. Step 3: Cross multiply
    329,812x = 706,264 × 706,264
  4. Step 4: Simplify right side
    329,812x = 498,808,837,696
  5. Step 5: Solve for x
    x = 498,808,837,696/329,812
  6. Step 6: Final answer
    x = 1,512,403.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.