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Finding the Third Proportional to 122,838 and 266,412

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Solution

The third proportional to 122,838 and 266,412 is: 577,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,838 : 266,412 = 266,412 : x
  2. Step 2: Convert to fraction form
    122,838/266,412 = 266,412/x
  3. Step 3: Cross multiply
    122,838x = 266,412 × 266,412
  4. Step 4: Simplify right side
    122,838x = 70,975,353,744
  5. Step 5: Solve for x
    x = 70,975,353,744/122,838
  6. Step 6: Final answer
    x = 577,796.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.