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Finding the Third Proportional to 157,905 and 242,714

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Solution

The third proportional to 157,905 and 242,714 is: 373,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,905 : 242,714 = 242,714 : x
  2. Step 2: Convert to fraction form
    157,905/242,714 = 242,714/x
  3. Step 3: Cross multiply
    157,905x = 242,714 × 242,714
  4. Step 4: Simplify right side
    157,905x = 58,910,085,796
  5. Step 5: Solve for x
    x = 58,910,085,796/157,905
  6. Step 6: Final answer
    x = 373,072.96

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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.