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Finding the Third Proportional to 378,809 and 841,693

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Solution

The third proportional to 378,809 and 841,693 is: 1,870,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,809 : 841,693 = 841,693 : x
  2. Step 2: Convert to fraction form
    378,809/841,693 = 841,693/x
  3. Step 3: Cross multiply
    378,809x = 841,693 × 841,693
  4. Step 4: Simplify right side
    378,809x = 708,447,106,249
  5. Step 5: Solve for x
    x = 708,447,106,249/378,809
  6. Step 6: Final answer
    x = 1,870,196.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.