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Finding the Third Proportional to 81,796 and 130,470

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Solution

The third proportional to 81,796 and 130,470 is: 208,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796 : 130,470 = 130,470 : x
  2. Step 2: Convert to fraction form
    81,796/130,470 = 130,470/x
  3. Step 3: Cross multiply
    81,796x = 130,470 × 130,470
  4. Step 4: Simplify right side
    81,796x = 17,022,420,900
  5. Step 5: Solve for x
    x = 17,022,420,900/81,796
  6. Step 6: Final answer
    x = 208,108.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.