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Finding the Third Proportional to 202,575 and 434,583

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Solution

The third proportional to 202,575 and 434,583 is: 932,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,575 : 434,583 = 434,583 : x
  2. Step 2: Convert to fraction form
    202,575/434,583 = 434,583/x
  3. Step 3: Cross multiply
    202,575x = 434,583 × 434,583
  4. Step 4: Simplify right side
    202,575x = 188,862,383,889
  5. Step 5: Solve for x
    x = 188,862,383,889/202,575
  6. Step 6: Final answer
    x = 932,308.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.