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Finding the Third Proportional to 189,472 and 400,688

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Solution

The third proportional to 189,472 and 400,688 is: 847,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,472 : 400,688 = 400,688 : x
  2. Step 2: Convert to fraction form
    189,472/400,688 = 400,688/x
  3. Step 3: Cross multiply
    189,472x = 400,688 × 400,688
  4. Step 4: Simplify right side
    189,472x = 160,550,873,344
  5. Step 5: Solve for x
    x = 160,550,873,344/189,472
  6. Step 6: Final answer
    x = 847,359.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.