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Finding the Third Proportional to 376,305 and 536,428

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Solution

The third proportional to 376,305 and 536,428 is: 764,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,305 : 536,428 = 536,428 : x
  2. Step 2: Convert to fraction form
    376,305/536,428 = 536,428/x
  3. Step 3: Cross multiply
    376,305x = 536,428 × 536,428
  4. Step 4: Simplify right side
    376,305x = 287,754,999,184
  5. Step 5: Solve for x
    x = 287,754,999,184/376,305
  6. Step 6: Final answer
    x = 764,685.56

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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.