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Finding the Third Proportional to 130,025 and 206,319

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Solution

The third proportional to 130,025 and 206,319 is: 327,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,025 : 206,319 = 206,319 : x
  2. Step 2: Convert to fraction form
    130,025/206,319 = 206,319/x
  3. Step 3: Cross multiply
    130,025x = 206,319 × 206,319
  4. Step 4: Simplify right side
    130,025x = 42,567,529,761
  5. Step 5: Solve for x
    x = 42,567,529,761/130,025
  6. Step 6: Final answer
    x = 327,379.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.