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Finding the Third Proportional to 378,789 and 841,656

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Solution

The third proportional to 378,789 and 841,656 is: 1,870,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,789 : 841,656 = 841,656 : x
  2. Step 2: Convert to fraction form
    378,789/841,656 = 841,656/x
  3. Step 3: Cross multiply
    378,789x = 841,656 × 841,656
  4. Step 4: Simplify right side
    378,789x = 708,384,822,336
  5. Step 5: Solve for x
    x = 708,384,822,336/378,789
  6. Step 6: Final answer
    x = 1,870,130.40

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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.