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Finding the Third Proportional to 311,579.16 and 508,733.79

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Solution

The third proportional to 311,579.16 and 508,733.79 is: 830,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,579.16 : 508,733.79 = 508,733.79 : x
  2. Step 2: Convert to fraction form
    311,579.16/508,733.79 = 508,733.79/x
  3. Step 3: Cross multiply
    311,579.16x = 508,733.79 × 508,733.79
  4. Step 4: Simplify right side
    311,579.16x = 258,810,068,133.89
  5. Step 5: Solve for x
    x = 258,810,068,133.89/311,579.16
  6. Step 6: Final answer
    x = 830,639.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.