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Finding the Third Proportional to 128,416 and 273,464

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Solution

The third proportional to 128,416 and 273,464 is: 582,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,416 : 273,464 = 273,464 : x
  2. Step 2: Convert to fraction form
    128,416/273,464 = 273,464/x
  3. Step 3: Cross multiply
    128,416x = 273,464 × 273,464
  4. Step 4: Simplify right side
    128,416x = 74,782,559,296
  5. Step 5: Solve for x
    x = 74,782,559,296/128,416
  6. Step 6: Final answer
    x = 582,346.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.