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Finding the Third Proportional to 175,509 and 272,259

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Solution

The third proportional to 175,509 and 272,259 is: 422,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,509 : 272,259 = 272,259 : x
  2. Step 2: Convert to fraction form
    175,509/272,259 = 272,259/x
  3. Step 3: Cross multiply
    175,509x = 272,259 × 272,259
  4. Step 4: Simplify right side
    175,509x = 74,124,963,081
  5. Step 5: Solve for x
    x = 74,124,963,081/175,509
  6. Step 6: Final answer
    x = 422,342.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.