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Finding the Third Proportional to 157,224 and 349,278

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Solution

The third proportional to 157,224 and 349,278 is: 775,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224 : 349,278 = 349,278 : x
  2. Step 2: Convert to fraction form
    157,224/349,278 = 349,278/x
  3. Step 3: Cross multiply
    157,224x = 349,278 × 349,278
  4. Step 4: Simplify right side
    157,224x = 121,995,121,284
  5. Step 5: Solve for x
    x = 121,995,121,284/157,224
  6. Step 6: Final answer
    x = 775,931.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.