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Finding the Third Proportional to 157,628 and 342,050

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Solution

The third proportional to 157,628 and 342,050 is: 742,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,628 : 342,050 = 342,050 : x
  2. Step 2: Convert to fraction form
    157,628/342,050 = 342,050/x
  3. Step 3: Cross multiply
    157,628x = 342,050 × 342,050
  4. Step 4: Simplify right side
    157,628x = 116,998,202,500
  5. Step 5: Solve for x
    x = 116,998,202,500/157,628
  6. Step 6: Final answer
    x = 742,242.51

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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.