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Finding the Third Proportional to 233,575 and 512,366

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Solution

The third proportional to 233,575 and 512,366 is: 1,123,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,575 : 512,366 = 512,366 : x
  2. Step 2: Convert to fraction form
    233,575/512,366 = 512,366/x
  3. Step 3: Cross multiply
    233,575x = 512,366 × 512,366
  4. Step 4: Simplify right side
    233,575x = 262,518,917,956
  5. Step 5: Solve for x
    x = 262,518,917,956/233,575
  6. Step 6: Final answer
    x = 1,123,917.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.