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Finding the Third Proportional to 157,907 and 242,717

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Solution

The third proportional to 157,907 and 242,717 is: 373,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,907 : 242,717 = 242,717 : x
  2. Step 2: Convert to fraction form
    157,907/242,717 = 242,717/x
  3. Step 3: Cross multiply
    157,907x = 242,717 × 242,717
  4. Step 4: Simplify right side
    157,907x = 58,911,542,089
  5. Step 5: Solve for x
    x = 58,911,542,089/157,907
  6. Step 6: Final answer
    x = 373,077.46

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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.