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Finding the Third Proportional to 180,060 and 388,030

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Solution

The third proportional to 180,060 and 388,030 is: 836,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,060 : 388,030 = 388,030 : x
  2. Step 2: Convert to fraction form
    180,060/388,030 = 388,030/x
  3. Step 3: Cross multiply
    180,060x = 388,030 × 388,030
  4. Step 4: Simplify right side
    180,060x = 150,567,280,900
  5. Step 5: Solve for x
    x = 150,567,280,900/180,060
  6. Step 6: Final answer
    x = 836,206.16

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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.