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Finding the Third Proportional to 490,389 and 763,284

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Solution

The third proportional to 490,389 and 763,284 is: 1,188,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,389 : 763,284 = 763,284 : x
  2. Step 2: Convert to fraction form
    490,389/763,284 = 763,284/x
  3. Step 3: Cross multiply
    490,389x = 763,284 × 763,284
  4. Step 4: Simplify right side
    490,389x = 582,602,464,656
  5. Step 5: Solve for x
    x = 582,602,464,656/490,389
  6. Step 6: Final answer
    x = 1,188,041.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.