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Finding the Third Proportional to 124,286 and 269,308

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Solution

The third proportional to 124,286 and 269,308 is: 583,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,286 : 269,308 = 269,308 : x
  2. Step 2: Convert to fraction form
    124,286/269,308 = 269,308/x
  3. Step 3: Cross multiply
    124,286x = 269,308 × 269,308
  4. Step 4: Simplify right side
    124,286x = 72,526,798,864
  5. Step 5: Solve for x
    x = 72,526,798,864/124,286
  6. Step 6: Final answer
    x = 583,547.61

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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.