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Finding the Third Proportional to 180,430 and 385,888

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Solution

The third proportional to 180,430 and 385,888 is: 825,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,430 : 385,888 = 385,888 : x
  2. Step 2: Convert to fraction form
    180,430/385,888 = 385,888/x
  3. Step 3: Cross multiply
    180,430x = 385,888 × 385,888
  4. Step 4: Simplify right side
    180,430x = 148,909,548,544
  5. Step 5: Solve for x
    x = 148,909,548,544/180,430
  6. Step 6: Final answer
    x = 825,303.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.