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Finding the Third Proportional to 487,168 and 765,287

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Solution

The third proportional to 487,168 and 765,287 is: 1,202,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,168 : 765,287 = 765,287 : x
  2. Step 2: Convert to fraction form
    487,168/765,287 = 765,287/x
  3. Step 3: Cross multiply
    487,168x = 765,287 × 765,287
  4. Step 4: Simplify right side
    487,168x = 585,664,192,369
  5. Step 5: Solve for x
    x = 585,664,192,369/487,168
  6. Step 6: Final answer
    x = 1,202,181.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.