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Finding the Third Proportional to 143,117 and 210,497

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Solution

The third proportional to 143,117 and 210,497 is: 309,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,117 : 210,497 = 210,497 : x
  2. Step 2: Convert to fraction form
    143,117/210,497 = 210,497/x
  3. Step 3: Cross multiply
    143,117x = 210,497 × 210,497
  4. Step 4: Simplify right side
    143,117x = 44,308,987,009
  5. Step 5: Solve for x
    x = 44,308,987,009/143,117
  6. Step 6: Final answer
    x = 309,599.75

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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.