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Finding the Third Proportional to 38,688 and 83,712

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Solution

The third proportional to 38,688 and 83,712 is: 181,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,688 : 83,712 = 83,712 : x
  2. Step 2: Convert to fraction form
    38,688/83,712 = 83,712/x
  3. Step 3: Cross multiply
    38,688x = 83,712 × 83,712
  4. Step 4: Simplify right side
    38,688x = 7,007,698,944
  5. Step 5: Solve for x
    x = 7,007,698,944/38,688
  6. Step 6: Final answer
    x = 181,133.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.