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Finding the Third Proportional to 81,045 and 173,430

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Solution

The third proportional to 81,045 and 173,430 is: 371,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,045 : 173,430 = 173,430 : x
  2. Step 2: Convert to fraction form
    81,045/173,430 = 173,430/x
  3. Step 3: Cross multiply
    81,045x = 173,430 × 173,430
  4. Step 4: Simplify right side
    81,045x = 30,077,964,900
  5. Step 5: Solve for x
    x = 30,077,964,900/81,045
  6. Step 6: Final answer
    x = 371,126.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.