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Finding the Third Proportional to 189,649.50 and 407,421

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Solution

The third proportional to 189,649.50 and 407,421 is: 875,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,649.50 : 407,421 = 407,421 : x
  2. Step 2: Convert to fraction form
    189,649.50/407,421 = 407,421/x
  3. Step 3: Cross multiply
    189,649.50x = 407,421 × 407,421
  4. Step 4: Simplify right side
    189,649.50x = 165,991,871,241
  5. Step 5: Solve for x
    x = 165,991,871,241/189,649.50
  6. Step 6: Final answer
    x = 875,256.04

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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.