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Finding the Third Proportional to 177,914 and 390,820

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Solution

The third proportional to 177,914 and 390,820 is: 858,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,914 : 390,820 = 390,820 : x
  2. Step 2: Convert to fraction form
    177,914/390,820 = 390,820/x
  3. Step 3: Cross multiply
    177,914x = 390,820 × 390,820
  4. Step 4: Simplify right side
    177,914x = 152,740,272,400
  5. Step 5: Solve for x
    x = 152,740,272,400/177,914
  6. Step 6: Final answer
    x = 858,506.20

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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.