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Finding the Third Proportional to 81,888 and 130,560

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Solution

The third proportional to 81,888 and 130,560 is: 208,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,888 : 130,560 = 130,560 : x
  2. Step 2: Convert to fraction form
    81,888/130,560 = 130,560/x
  3. Step 3: Cross multiply
    81,888x = 130,560 × 130,560
  4. Step 4: Simplify right side
    81,888x = 17,045,913,600
  5. Step 5: Solve for x
    x = 17,045,913,600/81,888
  6. Step 6: Final answer
    x = 208,161.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.