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Finding the Third Proportional to 171,421.31 and 261,483.19

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Solution

The third proportional to 171,421.31 and 261,483.19 is: 398,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,421.31 : 261,483.19 = 261,483.19 : x
  2. Step 2: Convert to fraction form
    171,421.31/261,483.19 = 261,483.19/x
  3. Step 3: Cross multiply
    171,421.31x = 261,483.19 × 261,483.19
  4. Step 4: Simplify right side
    171,421.31x = 68,373,457,345.16
  5. Step 5: Solve for x
    x = 68,373,457,345.16/171,421.31
  6. Step 6: Final answer
    x = 398,862.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.