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Finding the Third Proportional to 157,072 and 242,672

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Solution

The third proportional to 157,072 and 242,672 is: 374,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,072 : 242,672 = 242,672 : x
  2. Step 2: Convert to fraction form
    157,072/242,672 = 242,672/x
  3. Step 3: Cross multiply
    157,072x = 242,672 × 242,672
  4. Step 4: Simplify right side
    157,072x = 58,889,699,584
  5. Step 5: Solve for x
    x = 58,889,699,584/157,072
  6. Step 6: Final answer
    x = 374,921.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.