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Finding the Third Proportional to 311,890.50 and 470,053.13

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Solution

The third proportional to 311,890.50 and 470,053.13 is: 708,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,890.50 : 470,053.13 = 470,053.13 : x
  2. Step 2: Convert to fraction form
    311,890.50/470,053.13 = 470,053.13/x
  3. Step 3: Cross multiply
    311,890.50x = 470,053.13 × 470,053.13
  4. Step 4: Simplify right side
    311,890.50x = 220,949,940,322.27
  5. Step 5: Solve for x
    x = 220,949,940,322.27/311,890.50
  6. Step 6: Final answer
    x = 708,421.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.