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Finding the Third Proportional to 115,386 and 174,615

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Solution

The third proportional to 115,386 and 174,615 is: 264,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,386 : 174,615 = 174,615 : x
  2. Step 2: Convert to fraction form
    115,386/174,615 = 174,615/x
  3. Step 3: Cross multiply
    115,386x = 174,615 × 174,615
  4. Step 4: Simplify right side
    115,386x = 30,490,398,225
  5. Step 5: Solve for x
    x = 30,490,398,225/115,386
  6. Step 6: Final answer
    x = 264,246.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.