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Finding the Third Proportional to 157,621 and 342,034

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Solution

The third proportional to 157,621 and 342,034 is: 742,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,621 : 342,034 = 342,034 : x
  2. Step 2: Convert to fraction form
    157,621/342,034 = 342,034/x
  3. Step 3: Cross multiply
    157,621x = 342,034 × 342,034
  4. Step 4: Simplify right side
    157,621x = 116,987,257,156
  5. Step 5: Solve for x
    x = 116,987,257,156/157,621
  6. Step 6: Final answer
    x = 742,206.03

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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.