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Finding the Third Proportional to 311,913 and 656,419.50

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Solution

The third proportional to 311,913 and 656,419.50 is: 1,381,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,913 : 656,419.50 = 656,419.50 : x
  2. Step 2: Convert to fraction form
    311,913/656,419.50 = 656,419.50/x
  3. Step 3: Cross multiply
    311,913x = 656,419.50 × 656,419.50
  4. Step 4: Simplify right side
    311,913x = 430,886,559,980.25
  5. Step 5: Solve for x
    x = 430,886,559,980.25/311,913
  6. Step 6: Final answer
    x = 1,381,431.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.