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Finding the Third Proportional to 66,051 and 142,623

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Solution

The third proportional to 66,051 and 142,623 is: 307,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,051 : 142,623 = 142,623 : x
  2. Step 2: Convert to fraction form
    66,051/142,623 = 142,623/x
  3. Step 3: Cross multiply
    66,051x = 142,623 × 142,623
  4. Step 4: Simplify right side
    66,051x = 20,341,320,129
  5. Step 5: Solve for x
    x = 20,341,320,129/66,051
  6. Step 6: Final answer
    x = 307,963.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.