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Finding the Third Proportional to 152,436 and 203,643

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Solution

The third proportional to 152,436 and 203,643 is: 272,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,436 : 203,643 = 203,643 : x
  2. Step 2: Convert to fraction form
    152,436/203,643 = 203,643/x
  3. Step 3: Cross multiply
    152,436x = 203,643 × 203,643
  4. Step 4: Simplify right side
    152,436x = 41,470,471,449
  5. Step 5: Solve for x
    x = 41,470,471,449/152,436
  6. Step 6: Final answer
    x = 272,051.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.