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Finding the Third Proportional to 61,116 and 128,382

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Solution

The third proportional to 61,116 and 128,382 is: 269,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,116 : 128,382 = 128,382 : x
  2. Step 2: Convert to fraction form
    61,116/128,382 = 128,382/x
  3. Step 3: Cross multiply
    61,116x = 128,382 × 128,382
  4. Step 4: Simplify right side
    61,116x = 16,481,937,924
  5. Step 5: Solve for x
    x = 16,481,937,924/61,116
  6. Step 6: Final answer
    x = 269,682.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.