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Finding the Third Proportional to 488,286 and 746,502

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Solution

The third proportional to 488,286 and 746,502 is: 1,141,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,286 : 746,502 = 746,502 : x
  2. Step 2: Convert to fraction form
    488,286/746,502 = 746,502/x
  3. Step 3: Cross multiply
    488,286x = 746,502 × 746,502
  4. Step 4: Simplify right side
    488,286x = 557,265,236,004
  5. Step 5: Solve for x
    x = 557,265,236,004/488,286
  6. Step 6: Final answer
    x = 1,141,268.10

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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.