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Finding the Third Proportional to 488,766 and 747,695

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Solution

The third proportional to 488,766 and 747,695 is: 1,143,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,766 : 747,695 = 747,695 : x
  2. Step 2: Convert to fraction form
    488,766/747,695 = 747,695/x
  3. Step 3: Cross multiply
    488,766x = 747,695 × 747,695
  4. Step 4: Simplify right side
    488,766x = 559,047,813,025
  5. Step 5: Solve for x
    x = 559,047,813,025/488,766
  6. Step 6: Final answer
    x = 1,143,794.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.