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Finding the Third Proportional to 61,416 and 128,392

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Solution

The third proportional to 61,416 and 128,392 is: 268,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416 : 128,392 = 128,392 : x
  2. Step 2: Convert to fraction form
    61,416/128,392 = 128,392/x
  3. Step 3: Cross multiply
    61,416x = 128,392 × 128,392
  4. Step 4: Simplify right side
    61,416x = 16,484,505,664
  5. Step 5: Solve for x
    x = 16,484,505,664/61,416
  6. Step 6: Final answer
    x = 268,407.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.