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Finding the Third Proportional to 113,421 and 171,043

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Solution

The third proportional to 113,421 and 171,043 is: 257,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,421 : 171,043 = 171,043 : x
  2. Step 2: Convert to fraction form
    113,421/171,043 = 171,043/x
  3. Step 3: Cross multiply
    113,421x = 171,043 × 171,043
  4. Step 4: Simplify right side
    113,421x = 29,255,707,849
  5. Step 5: Solve for x
    x = 29,255,707,849/113,421
  6. Step 6: Final answer
    x = 257,939.08

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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.