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Finding the Third Proportional to 157,776 and 343,200

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Solution

The third proportional to 157,776 and 343,200 is: 746,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,776 : 343,200 = 343,200 : x
  2. Step 2: Convert to fraction form
    157,776/343,200 = 343,200/x
  3. Step 3: Cross multiply
    157,776x = 343,200 × 343,200
  4. Step 4: Simplify right side
    157,776x = 117,786,240,000
  5. Step 5: Solve for x
    x = 117,786,240,000/157,776
  6. Step 6: Final answer
    x = 746,540.92

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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.