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Finding the Third Proportional to 142,927 and 210,108

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Solution

The third proportional to 142,927 and 210,108 is: 308,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,927 : 210,108 = 210,108 : x
  2. Step 2: Convert to fraction form
    142,927/210,108 = 210,108/x
  3. Step 3: Cross multiply
    142,927x = 210,108 × 210,108
  4. Step 4: Simplify right side
    142,927x = 44,145,371,664
  5. Step 5: Solve for x
    x = 44,145,371,664/142,927
  6. Step 6: Final answer
    x = 308,866.57

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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.