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Finding the Third Proportional to 329,274 and 707,640

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Solution

The third proportional to 329,274 and 707,640 is: 1,520,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,274 : 707,640 = 707,640 : x
  2. Step 2: Convert to fraction form
    329,274/707,640 = 707,640/x
  3. Step 3: Cross multiply
    329,274x = 707,640 × 707,640
  4. Step 4: Simplify right side
    329,274x = 500,754,369,600
  5. Step 5: Solve for x
    x = 500,754,369,600/329,274
  6. Step 6: Final answer
    x = 1,520,783.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.