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Finding the Third Proportional to 86,772 and 130,896

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Solution

The third proportional to 86,772 and 130,896 is: 197,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,772 : 130,896 = 130,896 : x
  2. Step 2: Convert to fraction form
    86,772/130,896 = 130,896/x
  3. Step 3: Cross multiply
    86,772x = 130,896 × 130,896
  4. Step 4: Simplify right side
    86,772x = 17,133,762,816
  5. Step 5: Solve for x
    x = 17,133,762,816/86,772
  6. Step 6: Final answer
    x = 197,457.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.