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Finding the Third Proportional to 157,785 and 342,321

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Solution

The third proportional to 157,785 and 342,321 is: 742,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,785 : 342,321 = 342,321 : x
  2. Step 2: Convert to fraction form
    157,785/342,321 = 342,321/x
  3. Step 3: Cross multiply
    157,785x = 342,321 × 342,321
  4. Step 4: Simplify right side
    157,785x = 117,183,667,041
  5. Step 5: Solve for x
    x = 117,183,667,041/157,785
  6. Step 6: Final answer
    x = 742,679.39

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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.