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Finding the Third Proportional to 100,440 and 171,072

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Solution

The third proportional to 100,440 and 171,072 is: 291,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,440 : 171,072 = 171,072 : x
  2. Step 2: Convert to fraction form
    100,440/171,072 = 171,072/x
  3. Step 3: Cross multiply
    100,440x = 171,072 × 171,072
  4. Step 4: Simplify right side
    100,440x = 29,265,629,184
  5. Step 5: Solve for x
    x = 29,265,629,184/100,440
  6. Step 6: Final answer
    x = 291,374.25

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.