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Finding the Third Proportional to 377,310 and 536,445

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Solution

The third proportional to 377,310 and 536,445 is: 762,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,310 : 536,445 = 536,445 : x
  2. Step 2: Convert to fraction form
    377,310/536,445 = 536,445/x
  3. Step 3: Cross multiply
    377,310x = 536,445 × 536,445
  4. Step 4: Simplify right side
    377,310x = 287,773,238,025
  5. Step 5: Solve for x
    x = 287,773,238,025/377,310
  6. Step 6: Final answer
    x = 762,697.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.