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Finding the Third Proportional to 180,501.75 and 388,985.63

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Solution

The third proportional to 180,501.75 and 388,985.63 is: 838,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,501.75 : 388,985.63 = 388,985.63 : x
  2. Step 2: Convert to fraction form
    180,501.75/388,985.63 = 388,985.63/x
  3. Step 3: Cross multiply
    180,501.75x = 388,985.63 × 388,985.63
  4. Step 4: Simplify right side
    180,501.75x = 151,309,816,456.64
  5. Step 5: Solve for x
    x = 151,309,816,456.64/180,501.75
  6. Step 6: Final answer
    x = 838,273.40

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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.