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Finding the Third Proportional to 434,203.50 and 620,344.50

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Solution

The third proportional to 434,203.50 and 620,344.50 is: 886,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,203.50 : 620,344.50 = 620,344.50 : x
  2. Step 2: Convert to fraction form
    434,203.50/620,344.50 = 620,344.50/x
  3. Step 3: Cross multiply
    434,203.50x = 620,344.50 × 620,344.50
  4. Step 4: Simplify right side
    434,203.50x = 384,827,298,680.25
  5. Step 5: Solve for x
    x = 384,827,298,680.25/434,203.50
  6. Step 6: Final answer
    x = 886,283.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.