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Finding the Third Proportional to 79,480 and 111,406

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Solution

The third proportional to 79,480 and 111,406 is: 156,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,480 : 111,406 = 111,406 : x
  2. Step 2: Convert to fraction form
    79,480/111,406 = 111,406/x
  3. Step 3: Cross multiply
    79,480x = 111,406 × 111,406
  4. Step 4: Simplify right side
    79,480x = 12,411,296,836
  5. Step 5: Solve for x
    x = 12,411,296,836/79,480
  6. Step 6: Final answer
    x = 156,156.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.