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Finding the Third Proportional to 180,400.13 and 389,707.13

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Solution

The third proportional to 180,400.13 and 389,707.13 is: 841,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,400.13 : 389,707.13 = 389,707.13 : x
  2. Step 2: Convert to fraction form
    180,400.13/389,707.13 = 389,707.13/x
  3. Step 3: Cross multiply
    180,400.13x = 389,707.13 × 389,707.13
  4. Step 4: Simplify right side
    180,400.13x = 151,871,643,275.77
  5. Step 5: Solve for x
    x = 151,871,643,275.77/180,400.13
  6. Step 6: Final answer
    x = 841,859.97

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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.