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Finding the Third Proportional to 142,928 and 210,110

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Solution

The third proportional to 142,928 and 210,110 is: 308,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,928 : 210,110 = 210,110 : x
  2. Step 2: Convert to fraction form
    142,928/210,110 = 210,110/x
  3. Step 3: Cross multiply
    142,928x = 210,110 × 210,110
  4. Step 4: Simplify right side
    142,928x = 44,146,212,100
  5. Step 5: Solve for x
    x = 44,146,212,100/142,928
  6. Step 6: Final answer
    x = 308,870.29

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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.