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Finding the Third Proportional to 189,749 and 407,639

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Solution

The third proportional to 189,749 and 407,639 is: 875,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,749 : 407,639 = 407,639 : x
  2. Step 2: Convert to fraction form
    189,749/407,639 = 407,639/x
  3. Step 3: Cross multiply
    189,749x = 407,639 × 407,639
  4. Step 4: Simplify right side
    189,749x = 166,169,554,321
  5. Step 5: Solve for x
    x = 166,169,554,321/189,749
  6. Step 6: Final answer
    x = 875,733.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.