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Finding the Third Proportional to 74,372 and 145,007

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Solution

The third proportional to 74,372 and 145,007 is: 282,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,372 : 145,007 = 145,007 : x
  2. Step 2: Convert to fraction form
    74,372/145,007 = 145,007/x
  3. Step 3: Cross multiply
    74,372x = 145,007 × 145,007
  4. Step 4: Simplify right side
    74,372x = 21,027,030,049
  5. Step 5: Solve for x
    x = 21,027,030,049/74,372
  6. Step 6: Final answer
    x = 282,727.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.