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Finding the Third Proportional to 78,212 and 167,492

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Solution

The third proportional to 78,212 and 167,492 is: 358,686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,212 : 167,492 = 167,492 : x
  2. Step 2: Convert to fraction form
    78,212/167,492 = 167,492/x
  3. Step 3: Cross multiply
    78,212x = 167,492 × 167,492
  4. Step 4: Simplify right side
    78,212x = 28,053,570,064
  5. Step 5: Solve for x
    x = 28,053,570,064/78,212
  6. Step 6: Final answer
    x = 358,686.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.