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Finding the Third Proportional to 505,488 and 760,284

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Solution

The third proportional to 505,488 and 760,284 is: 1,143,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,488 : 760,284 = 760,284 : x
  2. Step 2: Convert to fraction form
    505,488/760,284 = 760,284/x
  3. Step 3: Cross multiply
    505,488x = 760,284 × 760,284
  4. Step 4: Simplify right side
    505,488x = 578,031,760,656
  5. Step 5: Solve for x
    x = 578,031,760,656/505,488
  6. Step 6: Final answer
    x = 1,143,512.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.