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Finding the Third Proportional to 157,655 and 345,969

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Solution

The third proportional to 157,655 and 345,969 is: 759,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,655 : 345,969 = 345,969 : x
  2. Step 2: Convert to fraction form
    157,655/345,969 = 345,969/x
  3. Step 3: Cross multiply
    157,655x = 345,969 × 345,969
  4. Step 4: Simplify right side
    157,655x = 119,694,548,961
  5. Step 5: Solve for x
    x = 119,694,548,961/157,655
  6. Step 6: Final answer
    x = 759,218.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.