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Finding the Third Proportional to 434,200.13 and 620,340.38

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Solution

The third proportional to 434,200.13 and 620,340.38 is: 886,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,200.13 : 620,340.38 = 620,340.38 : x
  2. Step 2: Convert to fraction form
    434,200.13/620,340.38 = 620,340.38/x
  3. Step 3: Cross multiply
    434,200.13x = 620,340.38 × 620,340.38
  4. Step 4: Simplify right side
    434,200.13x = 384,822,180,855.14
  5. Step 5: Solve for x
    x = 384,822,180,855.14/434,200.13
  6. Step 6: Final answer
    x = 886,278.37

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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.