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Finding the Third Proportional to 485,498.81 and 761,607.56

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Solution

The third proportional to 485,498.81 and 761,607.56 is: 1,194,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,498.81 : 761,607.56 = 761,607.56 : x
  2. Step 2: Convert to fraction form
    485,498.81/761,607.56 = 761,607.56/x
  3. Step 3: Cross multiply
    485,498.81x = 761,607.56 × 761,607.56
  4. Step 4: Simplify right side
    485,498.81x = 580,046,079,257.19
  5. Step 5: Solve for x
    x = 580,046,079,257.19/485,498.81
  6. Step 6: Final answer
    x = 1,194,742.53

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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.