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Finding the Third Proportional to 156,776 and 343,000

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Solution

The third proportional to 156,776 and 343,000 is: 750,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,776 : 343,000 = 343,000 : x
  2. Step 2: Convert to fraction form
    156,776/343,000 = 343,000/x
  3. Step 3: Cross multiply
    156,776x = 343,000 × 343,000
  4. Step 4: Simplify right side
    156,776x = 117,649,000,000
  5. Step 5: Solve for x
    x = 117,649,000,000/156,776
  6. Step 6: Final answer
    x = 750,427.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.