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Finding the Third Proportional to 142,696 and 211,986

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Solution

The third proportional to 142,696 and 211,986 is: 314,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,696 : 211,986 = 211,986 : x
  2. Step 2: Convert to fraction form
    142,696/211,986 = 211,986/x
  3. Step 3: Cross multiply
    142,696x = 211,986 × 211,986
  4. Step 4: Simplify right side
    142,696x = 44,938,064,196
  5. Step 5: Solve for x
    x = 44,938,064,196/142,696
  6. Step 6: Final answer
    x = 314,921.68

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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.