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Finding the Third Proportional to 128,838 and 289,344

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Solution

The third proportional to 128,838 and 289,344 is: 649,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,838 : 289,344 = 289,344 : x
  2. Step 2: Convert to fraction form
    128,838/289,344 = 289,344/x
  3. Step 3: Cross multiply
    128,838x = 289,344 × 289,344
  4. Step 4: Simplify right side
    128,838x = 83,719,950,336
  5. Step 5: Solve for x
    x = 83,719,950,336/128,838
  6. Step 6: Final answer
    x = 649,807.90

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.