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Finding the Third Proportional to 288,390.38 and 621,153.56

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Solution

The third proportional to 288,390.38 and 621,153.56 is: 1,337,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,390.38 : 621,153.56 = 621,153.56 : x
  2. Step 2: Convert to fraction form
    288,390.38/621,153.56 = 621,153.56/x
  3. Step 3: Cross multiply
    288,390.38x = 621,153.56 × 621,153.56
  4. Step 4: Simplify right side
    288,390.38x = 385,831,748,206.44
  5. Step 5: Solve for x
    x = 385,831,748,206.44/288,390.38
  6. Step 6: Final answer
    x = 1,337,880.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.