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Finding the Third Proportional to 96,128 and 209,752

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Solution

The third proportional to 96,128 and 209,752 is: 457,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,128 : 209,752 = 209,752 : x
  2. Step 2: Convert to fraction form
    96,128/209,752 = 209,752/x
  3. Step 3: Cross multiply
    96,128x = 209,752 × 209,752
  4. Step 4: Simplify right side
    96,128x = 43,995,901,504
  5. Step 5: Solve for x
    x = 43,995,901,504/96,128
  6. Step 6: Final answer
    x = 457,680.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.