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Finding the Third Proportional to 180,575 and 388,900

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Solution

The third proportional to 180,575 and 388,900 is: 837,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,575 : 388,900 = 388,900 : x
  2. Step 2: Convert to fraction form
    180,575/388,900 = 388,900/x
  3. Step 3: Cross multiply
    180,575x = 388,900 × 388,900
  4. Step 4: Simplify right side
    180,575x = 151,243,210,000
  5. Step 5: Solve for x
    x = 151,243,210,000/180,575
  6. Step 6: Final answer
    x = 837,564.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.