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Finding the Third Proportional to 177,916 and 390,823

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Solution

The third proportional to 177,916 and 390,823 is: 858,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,916 : 390,823 = 390,823 : x
  2. Step 2: Convert to fraction form
    177,916/390,823 = 390,823/x
  3. Step 3: Cross multiply
    177,916x = 390,823 × 390,823
  4. Step 4: Simplify right side
    177,916x = 152,742,617,329
  5. Step 5: Solve for x
    x = 152,742,617,329/177,916
  6. Step 6: Final answer
    x = 858,509.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.