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Finding the Third Proportional to 376,305 and 536,430

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Solution

The third proportional to 376,305 and 536,430 is: 764,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,305 : 536,430 = 536,430 : x
  2. Step 2: Convert to fraction form
    376,305/536,430 = 536,430/x
  3. Step 3: Cross multiply
    376,305x = 536,430 × 536,430
  4. Step 4: Simplify right side
    376,305x = 287,757,144,900
  5. Step 5: Solve for x
    x = 287,757,144,900/376,305
  6. Step 6: Final answer
    x = 764,691.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.