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Finding the Third Proportional to 358,418 and 529,455

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Solution

The third proportional to 358,418 and 529,455 is: 782,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,418 : 529,455 = 529,455 : x
  2. Step 2: Convert to fraction form
    358,418/529,455 = 529,455/x
  3. Step 3: Cross multiply
    358,418x = 529,455 × 529,455
  4. Step 4: Simplify right side
    358,418x = 280,322,597,025
  5. Step 5: Solve for x
    x = 280,322,597,025/358,418
  6. Step 6: Final answer
    x = 782,110.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.