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Finding the Third Proportional to 157,911 and 242,722

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Solution

The third proportional to 157,911 and 242,722 is: 373,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,911 : 242,722 = 242,722 : x
  2. Step 2: Convert to fraction form
    157,911/242,722 = 242,722/x
  3. Step 3: Cross multiply
    157,911x = 242,722 × 242,722
  4. Step 4: Simplify right side
    157,911x = 58,913,969,284
  5. Step 5: Solve for x
    x = 58,913,969,284/157,911
  6. Step 6: Final answer
    x = 373,083.38

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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.