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Finding the Third Proportional to 434,205 and 620,346.75

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Solution

The third proportional to 434,205 and 620,346.75 is: 886,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,205 : 620,346.75 = 620,346.75 : x
  2. Step 2: Convert to fraction form
    434,205/620,346.75 = 620,346.75/x
  3. Step 3: Cross multiply
    434,205x = 620,346.75 × 620,346.75
  4. Step 4: Simplify right side
    434,205x = 384,830,090,235.56
  5. Step 5: Solve for x
    x = 384,830,090,235.56/434,205
  6. Step 6: Final answer
    x = 886,286.64

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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.