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Finding the Third Proportional to 156,952 and 343,245

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Solution

The third proportional to 156,952 and 343,245 is: 750,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952 : 343,245 = 343,245 : x
  2. Step 2: Convert to fraction form
    156,952/343,245 = 343,245/x
  3. Step 3: Cross multiply
    156,952x = 343,245 × 343,245
  4. Step 4: Simplify right side
    156,952x = 117,817,130,025
  5. Step 5: Solve for x
    x = 117,817,130,025/156,952
  6. Step 6: Final answer
    x = 750,657.08

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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.