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Finding the Third Proportional to 485,653.50 and 760,180.50

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Solution

The third proportional to 485,653.50 and 760,180.50 is: 1,189,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,653.50 : 760,180.50 = 760,180.50 : x
  2. Step 2: Convert to fraction form
    485,653.50/760,180.50 = 760,180.50/x
  3. Step 3: Cross multiply
    485,653.50x = 760,180.50 × 760,180.50
  4. Step 4: Simplify right side
    485,653.50x = 577,874,392,580.25
  5. Step 5: Solve for x
    x = 577,874,392,580.25/485,653.50
  6. Step 6: Final answer
    x = 1,189,890.31

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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.