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Finding the Third Proportional to 189,746.44 and 407,632.78

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Solution

The third proportional to 189,746.44 and 407,632.78 is: 875,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,746.44 : 407,632.78 = 407,632.78 : x
  2. Step 2: Convert to fraction form
    189,746.44/407,632.78 = 407,632.78/x
  3. Step 3: Cross multiply
    189,746.44x = 407,632.78 × 407,632.78
  4. Step 4: Simplify right side
    189,746.44x = 166,164,484,349.61
  5. Step 5: Solve for x
    x = 166,164,484,349.61/189,746.44
  6. Step 6: Final answer
    x = 875,718.60

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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.