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Finding the Third Proportional to 397,316.25 and 849,165.75

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Solution

The third proportional to 397,316.25 and 849,165.75 is: 1,814,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,316.25 : 849,165.75 = 849,165.75 : x
  2. Step 2: Convert to fraction form
    397,316.25/849,165.75 = 849,165.75/x
  3. Step 3: Cross multiply
    397,316.25x = 849,165.75 × 849,165.75
  4. Step 4: Simplify right side
    397,316.25x = 721,082,470,973.06
  5. Step 5: Solve for x
    x = 721,082,470,973.06/397,316.25
  6. Step 6: Final answer
    x = 1,814,882.91

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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.