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Finding the Third Proportional to 86,684 and 128,703

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Solution

The third proportional to 86,684 and 128,703 is: 191,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684 : 128,703 = 128,703 : x
  2. Step 2: Convert to fraction form
    86,684/128,703 = 128,703/x
  3. Step 3: Cross multiply
    86,684x = 128,703 × 128,703
  4. Step 4: Simplify right side
    86,684x = 16,564,462,209
  5. Step 5: Solve for x
    x = 16,564,462,209/86,684
  6. Step 6: Final answer
    x = 191,090.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.