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Finding the Third Proportional to 316,856.81 and 486,356.91

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Solution

The third proportional to 316,856.81 and 486,356.91 is: 746,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,856.81 : 486,356.91 = 486,356.91 : x
  2. Step 2: Convert to fraction form
    316,856.81/486,356.91 = 486,356.91/x
  3. Step 3: Cross multiply
    316,856.81x = 486,356.91 × 486,356.91
  4. Step 4: Simplify right side
    316,856.81x = 236,543,040,257.07
  5. Step 5: Solve for x
    x = 236,543,040,257.07/316,856.81
  6. Step 6: Final answer
    x = 746,529.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.