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Finding the Third Proportional to 170,720 and 372,970

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Solution

The third proportional to 170,720 and 372,970 is: 814,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,720 : 372,970 = 372,970 : x
  2. Step 2: Convert to fraction form
    170,720/372,970 = 372,970/x
  3. Step 3: Cross multiply
    170,720x = 372,970 × 372,970
  4. Step 4: Simplify right side
    170,720x = 139,106,620,900
  5. Step 5: Solve for x
    x = 139,106,620,900/170,720
  6. Step 6: Final answer
    x = 814,823.22

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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.