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Finding the Third Proportional to 157,642 and 345,904

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Solution

The third proportional to 157,642 and 345,904 is: 758,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,642 : 345,904 = 345,904 : x
  2. Step 2: Convert to fraction form
    157,642/345,904 = 345,904/x
  3. Step 3: Cross multiply
    157,642x = 345,904 × 345,904
  4. Step 4: Simplify right side
    157,642x = 119,649,577,216
  5. Step 5: Solve for x
    x = 119,649,577,216/157,642
  6. Step 6: Final answer
    x = 758,995.55

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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.