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Finding the Third Proportional to 155,912 and 242,992

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Solution

The third proportional to 155,912 and 242,992 is: 378,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,912 : 242,992 = 242,992 : x
  2. Step 2: Convert to fraction form
    155,912/242,992 = 242,992/x
  3. Step 3: Cross multiply
    155,912x = 242,992 × 242,992
  4. Step 4: Simplify right side
    155,912x = 59,045,112,064
  5. Step 5: Solve for x
    x = 59,045,112,064/155,912
  6. Step 6: Final answer
    x = 378,707.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.