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Finding the Third Proportional to 115,913 and 268,358

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Solution

The third proportional to 115,913 and 268,358 is: 621,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,913 : 268,358 = 268,358 : x
  2. Step 2: Convert to fraction form
    115,913/268,358 = 268,358/x
  3. Step 3: Cross multiply
    115,913x = 268,358 × 268,358
  4. Step 4: Simplify right side
    115,913x = 72,016,016,164
  5. Step 5: Solve for x
    x = 72,016,016,164/115,913
  6. Step 6: Final answer
    x = 621,293.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.