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Finding the Third Proportional to 288,124.50 and 628,737

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Solution

The third proportional to 288,124.50 and 628,737 is: 1,372,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,124.50 : 628,737 = 628,737 : x
  2. Step 2: Convert to fraction form
    288,124.50/628,737 = 628,737/x
  3. Step 3: Cross multiply
    288,124.50x = 628,737 × 628,737
  4. Step 4: Simplify right side
    288,124.50x = 395,310,215,169
  5. Step 5: Solve for x
    x = 395,310,215,169/288,124.50
  6. Step 6: Final answer
    x = 1,372,011.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.