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Finding the Third Proportional to 189,368 and 407,347

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Solution

The third proportional to 189,368 and 407,347 is: 876,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,368 : 407,347 = 407,347 : x
  2. Step 2: Convert to fraction form
    189,368/407,347 = 407,347/x
  3. Step 3: Cross multiply
    189,368x = 407,347 × 407,347
  4. Step 4: Simplify right side
    189,368x = 165,931,578,409
  5. Step 5: Solve for x
    x = 165,931,578,409/189,368
  6. Step 6: Final answer
    x = 876,238.74

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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.