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Finding the Third Proportional to 157,699 and 341,642

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Solution

The third proportional to 157,699 and 341,642 is: 740,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,699 : 341,642 = 341,642 : x
  2. Step 2: Convert to fraction form
    157,699/341,642 = 341,642/x
  3. Step 3: Cross multiply
    157,699x = 341,642 × 341,642
  4. Step 4: Simplify right side
    157,699x = 116,719,256,164
  5. Step 5: Solve for x
    x = 116,719,256,164/157,699
  6. Step 6: Final answer
    x = 740,139.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.