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Finding the Third Proportional to 96,252 and 144,798

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Solution

The third proportional to 96,252 and 144,798 is: 217,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,252 : 144,798 = 144,798 : x
  2. Step 2: Convert to fraction form
    96,252/144,798 = 144,798/x
  3. Step 3: Cross multiply
    96,252x = 144,798 × 144,798
  4. Step 4: Simplify right side
    96,252x = 20,966,460,804
  5. Step 5: Solve for x
    x = 20,966,460,804/96,252
  6. Step 6: Final answer
    x = 217,828.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.