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Finding the Third Proportional to 485,749.50 and 760,278

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Solution

The third proportional to 485,749.50 and 760,278 is: 1,189,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,749.50 : 760,278 = 760,278 : x
  2. Step 2: Convert to fraction form
    485,749.50/760,278 = 760,278/x
  3. Step 3: Cross multiply
    485,749.50x = 760,278 × 760,278
  4. Step 4: Simplify right side
    485,749.50x = 578,022,637,284
  5. Step 5: Solve for x
    x = 578,022,637,284/485,749.50
  6. Step 6: Final answer
    x = 1,189,960.33

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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.