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Finding the Third Proportional to 189,310 and 407,780

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Solution

The third proportional to 189,310 and 407,780 is: 878,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,310 : 407,780 = 407,780 : x
  2. Step 2: Convert to fraction form
    189,310/407,780 = 407,780/x
  3. Step 3: Cross multiply
    189,310x = 407,780 × 407,780
  4. Step 4: Simplify right side
    189,310x = 166,284,528,400
  5. Step 5: Solve for x
    x = 166,284,528,400/189,310
  6. Step 6: Final answer
    x = 878,371.60

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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.