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Finding the Third Proportional to 405,688.50 and 576,639

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Solution

The third proportional to 405,688.50 and 576,639 is: 819,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,688.50 : 576,639 = 576,639 : x
  2. Step 2: Convert to fraction form
    405,688.50/576,639 = 576,639/x
  3. Step 3: Cross multiply
    405,688.50x = 576,639 × 576,639
  4. Step 4: Simplify right side
    405,688.50x = 332,512,536,321
  5. Step 5: Solve for x
    x = 332,512,536,321/405,688.50
  6. Step 6: Final answer
    x = 819,625.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.