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Finding the Third Proportional to 189,681.75 and 406,270.69

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Solution

The third proportional to 189,681.75 and 406,270.69 is: 870,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,681.75 : 406,270.69 = 406,270.69 : x
  2. Step 2: Convert to fraction form
    189,681.75/406,270.69 = 406,270.69/x
  3. Step 3: Cross multiply
    189,681.75x = 406,270.69 × 406,270.69
  4. Step 4: Simplify right side
    189,681.75x = 165,055,871,521.72
  5. Step 5: Solve for x
    x = 165,055,871,521.72/189,681.75
  6. Step 6: Final answer
    x = 870,172.65

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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.