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Finding the Third Proportional to 507,918 and 759,390

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Solution

The third proportional to 507,918 and 759,390 is: 1,135,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,918 : 759,390 = 759,390 : x
  2. Step 2: Convert to fraction form
    507,918/759,390 = 759,390/x
  3. Step 3: Cross multiply
    507,918x = 759,390 × 759,390
  4. Step 4: Simplify right side
    507,918x = 576,673,172,100
  5. Step 5: Solve for x
    x = 576,673,172,100/507,918
  6. Step 6: Final answer
    x = 1,135,366.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.