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Finding the Third Proportional to 357,768 and 485,823

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Solution

The third proportional to 357,768 and 485,823 is: 659,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,768 : 485,823 = 485,823 : x
  2. Step 2: Convert to fraction form
    357,768/485,823 = 485,823/x
  3. Step 3: Cross multiply
    357,768x = 485,823 × 485,823
  4. Step 4: Simplify right side
    357,768x = 236,023,987,329
  5. Step 5: Solve for x
    x = 236,023,987,329/357,768
  6. Step 6: Final answer
    x = 659,712.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.