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Finding the Third Proportional to 170,427 and 370,781

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Solution

The third proportional to 170,427 and 370,781 is: 806,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,427 : 370,781 = 370,781 : x
  2. Step 2: Convert to fraction form
    170,427/370,781 = 370,781/x
  3. Step 3: Cross multiply
    170,427x = 370,781 × 370,781
  4. Step 4: Simplify right side
    170,427x = 137,478,549,961
  5. Step 5: Solve for x
    x = 137,478,549,961/170,427
  6. Step 6: Final answer
    x = 806,671.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.