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Finding the Third Proportional to 115,038 and 268,911

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Solution

The third proportional to 115,038 and 268,911 is: 628,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,038 : 268,911 = 268,911 : x
  2. Step 2: Convert to fraction form
    115,038/268,911 = 268,911/x
  3. Step 3: Cross multiply
    115,038x = 268,911 × 268,911
  4. Step 4: Simplify right side
    115,038x = 72,313,125,921
  5. Step 5: Solve for x
    x = 72,313,125,921/115,038
  6. Step 6: Final answer
    x = 628,602.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.