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Finding the Third Proportional to 389,628 and 835,348

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Solution

The third proportional to 389,628 and 835,348 is: 1,790,955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,628 : 835,348 = 835,348 : x
  2. Step 2: Convert to fraction form
    389,628/835,348 = 835,348/x
  3. Step 3: Cross multiply
    389,628x = 835,348 × 835,348
  4. Step 4: Simplify right side
    389,628x = 697,806,281,104
  5. Step 5: Solve for x
    x = 697,806,281,104/389,628
  6. Step 6: Final answer
    x = 1,790,955.17

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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.