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Finding the Third Proportional to 311,981.63 and 673,778.25

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Solution

The third proportional to 311,981.63 and 673,778.25 is: 1,455,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,981.63 : 673,778.25 = 673,778.25 : x
  2. Step 2: Convert to fraction form
    311,981.63/673,778.25 = 673,778.25/x
  3. Step 3: Cross multiply
    311,981.63x = 673,778.25 × 673,778.25
  4. Step 4: Simplify right side
    311,981.63x = 453,977,130,173.06
  5. Step 5: Solve for x
    x = 453,977,130,173.06/311,981.63
  6. Step 6: Final answer
    x = 1,455,140.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.