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Finding the Third Proportional to 74,789 and 163,659

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Solution

The third proportional to 74,789 and 163,659 is: 358,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,789 : 163,659 = 163,659 : x
  2. Step 2: Convert to fraction form
    74,789/163,659 = 163,659/x
  3. Step 3: Cross multiply
    74,789x = 163,659 × 163,659
  4. Step 4: Simplify right side
    74,789x = 26,784,268,281
  5. Step 5: Solve for x
    x = 26,784,268,281/74,789
  6. Step 6: Final answer
    x = 358,131.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.