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Finding the Third Proportional to 409,744.50 and 620,329.50

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Solution

The third proportional to 409,744.50 and 620,329.50 is: 939,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,744.50 : 620,329.50 = 620,329.50 : x
  2. Step 2: Convert to fraction form
    409,744.50/620,329.50 = 620,329.50/x
  3. Step 3: Cross multiply
    409,744.50x = 620,329.50 × 620,329.50
  4. Step 4: Simplify right side
    409,744.50x = 384,808,688,570.25
  5. Step 5: Solve for x
    x = 384,808,688,570.25/409,744.50
  6. Step 6: Final answer
    x = 939,143.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.