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Finding the Third Proportional to 288,389.11 and 621,152.30

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Solution

The third proportional to 288,389.11 and 621,152.30 is: 1,337,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,389.11 : 621,152.30 = 621,152.30 : x
  2. Step 2: Convert to fraction form
    288,389.11/621,152.30 = 621,152.30/x
  3. Step 3: Cross multiply
    288,389.11x = 621,152.30 × 621,152.30
  4. Step 4: Simplify right side
    288,389.11x = 385,830,175,913.09
  5. Step 5: Solve for x
    x = 385,830,175,913.09/288,389.11
  6. Step 6: Final answer
    x = 1,337,880.53

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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.