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Finding the Third Proportional to 128,332 and 206,752

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Solution

The third proportional to 128,332 and 206,752 is: 333,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,332 : 206,752 = 206,752 : x
  2. Step 2: Convert to fraction form
    128,332/206,752 = 206,752/x
  3. Step 3: Cross multiply
    128,332x = 206,752 × 206,752
  4. Step 4: Simplify right side
    128,332x = 42,746,389,504
  5. Step 5: Solve for x
    x = 42,746,389,504/128,332
  6. Step 6: Final answer
    x = 333,092.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.