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Finding the Third Proportional to 75,074 and 163,128

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Solution

The third proportional to 75,074 and 163,128 is: 354,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,074 : 163,128 = 163,128 : x
  2. Step 2: Convert to fraction form
    75,074/163,128 = 163,128/x
  3. Step 3: Cross multiply
    75,074x = 163,128 × 163,128
  4. Step 4: Simplify right side
    75,074x = 26,610,744,384
  5. Step 5: Solve for x
    x = 26,610,744,384/75,074
  6. Step 6: Final answer
    x = 354,460.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.