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Finding the Third Proportional to 207,510 and 330,336

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Solution

The third proportional to 207,510 and 330,336 is: 525,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,510 : 330,336 = 330,336 : x
  2. Step 2: Convert to fraction form
    207,510/330,336 = 330,336/x
  3. Step 3: Cross multiply
    207,510x = 330,336 × 330,336
  4. Step 4: Simplify right side
    207,510x = 109,121,872,896
  5. Step 5: Solve for x
    x = 109,121,872,896/207,510
  6. Step 6: Final answer
    x = 525,863.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.