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Finding the Third Proportional to 180,072 and 390,684

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Solution

The third proportional to 180,072 and 390,684 is: 847,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,072 : 390,684 = 390,684 : x
  2. Step 2: Convert to fraction form
    180,072/390,684 = 390,684/x
  3. Step 3: Cross multiply
    180,072x = 390,684 × 390,684
  4. Step 4: Simplify right side
    180,072x = 152,633,987,856
  5. Step 5: Solve for x
    x = 152,633,987,856/180,072
  6. Step 6: Final answer
    x = 847,627.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.