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Finding the Third Proportional to 364,464 and 490,392

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Solution

The third proportional to 364,464 and 490,392 is: 659,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,464 : 490,392 = 490,392 : x
  2. Step 2: Convert to fraction form
    364,464/490,392 = 490,392/x
  3. Step 3: Cross multiply
    364,464x = 490,392 × 490,392
  4. Step 4: Simplify right side
    364,464x = 240,484,313,664
  5. Step 5: Solve for x
    x = 240,484,313,664/364,464
  6. Step 6: Final answer
    x = 659,830.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.