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Finding the Third Proportional to 171,690 and 265,842

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Solution

The third proportional to 171,690 and 265,842 is: 411,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,690 : 265,842 = 265,842 : x
  2. Step 2: Convert to fraction form
    171,690/265,842 = 265,842/x
  3. Step 3: Cross multiply
    171,690x = 265,842 × 265,842
  4. Step 4: Simplify right side
    171,690x = 70,671,968,964
  5. Step 5: Solve for x
    x = 70,671,968,964/171,690
  6. Step 6: Final answer
    x = 411,625.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.