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Finding the Third Proportional to 143,428 and 214,170

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Solution

The third proportional to 143,428 and 214,170 is: 319,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,428 : 214,170 = 214,170 : x
  2. Step 2: Convert to fraction form
    143,428/214,170 = 214,170/x
  3. Step 3: Cross multiply
    143,428x = 214,170 × 214,170
  4. Step 4: Simplify right side
    143,428x = 45,868,788,900
  5. Step 5: Solve for x
    x = 45,868,788,900/143,428
  6. Step 6: Final answer
    x = 319,803.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.