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Finding the Third Proportional to 78,920 and 170,944

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Solution

The third proportional to 78,920 and 170,944 is: 370,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,920 : 170,944 = 170,944 : x
  2. Step 2: Convert to fraction form
    78,920/170,944 = 170,944/x
  3. Step 3: Cross multiply
    78,920x = 170,944 × 170,944
  4. Step 4: Simplify right side
    78,920x = 29,221,851,136
  5. Step 5: Solve for x
    x = 29,221,851,136/78,920
  6. Step 6: Final answer
    x = 370,271.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.