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Finding the Third Proportional to 143,311 and 210,319

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Solution

The third proportional to 143,311 and 210,319 is: 308,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,311 : 210,319 = 210,319 : x
  2. Step 2: Convert to fraction form
    143,311/210,319 = 210,319/x
  3. Step 3: Cross multiply
    143,311x = 210,319 × 210,319
  4. Step 4: Simplify right side
    143,311x = 44,234,081,761
  5. Step 5: Solve for x
    x = 44,234,081,761/143,311
  6. Step 6: Final answer
    x = 308,657.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.