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Finding the Third Proportional to 311,827.50 and 470,562.75

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Solution

The third proportional to 311,827.50 and 470,562.75 is: 710,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,827.50 : 470,562.75 = 470,562.75 : x
  2. Step 2: Convert to fraction form
    311,827.50/470,562.75 = 470,562.75/x
  3. Step 3: Cross multiply
    311,827.50x = 470,562.75 × 470,562.75
  4. Step 4: Simplify right side
    311,827.50x = 221,429,301,687.56
  5. Step 5: Solve for x
    x = 221,429,301,687.56/311,827.50
  6. Step 6: Final answer
    x = 710,101.90

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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.