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Finding the Third Proportional to 74,128 and 157,653

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Solution

The third proportional to 74,128 and 157,653 is: 335,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,128 : 157,653 = 157,653 : x
  2. Step 2: Convert to fraction form
    74,128/157,653 = 157,653/x
  3. Step 3: Cross multiply
    74,128x = 157,653 × 157,653
  4. Step 4: Simplify right side
    74,128x = 24,854,468,409
  5. Step 5: Solve for x
    x = 24,854,468,409/74,128
  6. Step 6: Final answer
    x = 335,291.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.