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Finding the Third Proportional to 180,400.50 and 389,707.50

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Solution

The third proportional to 180,400.50 and 389,707.50 is: 841,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,400.50 : 389,707.50 = 389,707.50 : x
  2. Step 2: Convert to fraction form
    180,400.50/389,707.50 = 389,707.50/x
  3. Step 3: Cross multiply
    180,400.50x = 389,707.50 × 389,707.50
  4. Step 4: Simplify right side
    180,400.50x = 151,871,935,556.25
  5. Step 5: Solve for x
    x = 151,871,935,556.25/180,400.50
  6. Step 6: Final answer
    x = 841,859.84

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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.