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Finding the Third Proportional to 71,968 and 112,642

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Solution

The third proportional to 71,968 and 112,642 is: 176,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,968 : 112,642 = 112,642 : x
  2. Step 2: Convert to fraction form
    71,968/112,642 = 112,642/x
  3. Step 3: Cross multiply
    71,968x = 112,642 × 112,642
  4. Step 4: Simplify right side
    71,968x = 12,688,220,164
  5. Step 5: Solve for x
    x = 12,688,220,164/71,968
  6. Step 6: Final answer
    x = 176,303.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.