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Finding the Third Proportional to 389,619 and 845,670

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Solution

The third proportional to 389,619 and 845,670 is: 1,835,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,619 : 845,670 = 845,670 : x
  2. Step 2: Convert to fraction form
    389,619/845,670 = 845,670/x
  3. Step 3: Cross multiply
    389,619x = 845,670 × 845,670
  4. Step 4: Simplify right side
    389,619x = 715,157,748,900
  5. Step 5: Solve for x
    x = 715,157,748,900/389,619
  6. Step 6: Final answer
    x = 1,835,530.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.