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Finding the Third Proportional to 98,509 and 144,267

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Solution

The third proportional to 98,509 and 144,267 is: 211,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,509 : 144,267 = 144,267 : x
  2. Step 2: Convert to fraction form
    98,509/144,267 = 144,267/x
  3. Step 3: Cross multiply
    98,509x = 144,267 × 144,267
  4. Step 4: Simplify right side
    98,509x = 20,812,967,289
  5. Step 5: Solve for x
    x = 20,812,967,289/98,509
  6. Step 6: Final answer
    x = 211,279.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.