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Finding the Third Proportional to 485,628 and 760,119

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Solution

The third proportional to 485,628 and 760,119 is: 1,189,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,628 : 760,119 = 760,119 : x
  2. Step 2: Convert to fraction form
    485,628/760,119 = 760,119/x
  3. Step 3: Cross multiply
    485,628x = 760,119 × 760,119
  4. Step 4: Simplify right side
    485,628x = 577,780,894,161
  5. Step 5: Solve for x
    x = 577,780,894,161/485,628
  6. Step 6: Final answer
    x = 1,189,760.26

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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.