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Finding the Third Proportional to 358,420 and 529,458

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Solution

The third proportional to 358,420 and 529,458 is: 782,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,420 : 529,458 = 529,458 : x
  2. Step 2: Convert to fraction form
    358,420/529,458 = 529,458/x
  3. Step 3: Cross multiply
    358,420x = 529,458 × 529,458
  4. Step 4: Simplify right side
    358,420x = 280,325,773,764
  5. Step 5: Solve for x
    x = 280,325,773,764/358,420
  6. Step 6: Final answer
    x = 782,115.32

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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.