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Finding the Third Proportional to 123,575 and 255,895

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Solution

The third proportional to 123,575 and 255,895 is: 529,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,575 : 255,895 = 255,895 : x
  2. Step 2: Convert to fraction form
    123,575/255,895 = 255,895/x
  3. Step 3: Cross multiply
    123,575x = 255,895 × 255,895
  4. Step 4: Simplify right side
    123,575x = 65,482,251,025
  5. Step 5: Solve for x
    x = 65,482,251,025/123,575
  6. Step 6: Final answer
    x = 529,898.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.