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Finding the Third Proportional to 61,152 and 129,216

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Solution

The third proportional to 61,152 and 129,216 is: 273,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,152 : 129,216 = 129,216 : x
  2. Step 2: Convert to fraction form
    61,152/129,216 = 129,216/x
  3. Step 3: Cross multiply
    61,152x = 129,216 × 129,216
  4. Step 4: Simplify right side
    61,152x = 16,696,774,656
  5. Step 5: Solve for x
    x = 16,696,774,656/61,152
  6. Step 6: Final answer
    x = 273,037.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.