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Finding the Third Proportional to 157,279.50 and 342,207

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Solution

The third proportional to 157,279.50 and 342,207 is: 744,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,279.50 : 342,207 = 342,207 : x
  2. Step 2: Convert to fraction form
    157,279.50/342,207 = 342,207/x
  3. Step 3: Cross multiply
    157,279.50x = 342,207 × 342,207
  4. Step 4: Simplify right side
    157,279.50x = 117,105,630,849
  5. Step 5: Solve for x
    x = 117,105,630,849/157,279.50
  6. Step 6: Final answer
    x = 744,570.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.