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Finding the Third Proportional to 188,754 and 407,028

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Solution

The third proportional to 188,754 and 407,028 is: 877,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,754 : 407,028 = 407,028 : x
  2. Step 2: Convert to fraction form
    188,754/407,028 = 407,028/x
  3. Step 3: Cross multiply
    188,754x = 407,028 × 407,028
  4. Step 4: Simplify right side
    188,754x = 165,671,792,784
  5. Step 5: Solve for x
    x = 165,671,792,784/188,754
  6. Step 6: Final answer
    x = 877,712.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.