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Finding the Third Proportional to 155,880 and 242,946

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Solution

The third proportional to 155,880 and 242,946 is: 378,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,880 : 242,946 = 242,946 : x
  2. Step 2: Convert to fraction form
    155,880/242,946 = 242,946/x
  3. Step 3: Cross multiply
    155,880x = 242,946 × 242,946
  4. Step 4: Simplify right side
    155,880x = 59,022,758,916
  5. Step 5: Solve for x
    x = 59,022,758,916/155,880
  6. Step 6: Final answer
    x = 378,642.28

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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.