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Finding the Third Proportional to 121,776 and 162,896

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Solution

The third proportional to 121,776 and 162,896 is: 217,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,776 : 162,896 = 162,896 : x
  2. Step 2: Convert to fraction form
    121,776/162,896 = 162,896/x
  3. Step 3: Cross multiply
    121,776x = 162,896 × 162,896
  4. Step 4: Simplify right side
    121,776x = 26,535,106,816
  5. Step 5: Solve for x
    x = 26,535,106,816/121,776
  6. Step 6: Final answer
    x = 217,900.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.