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Finding the Third Proportional to 354,706 and 778,394

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Solution

The third proportional to 354,706 and 778,394 is: 1,708,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,706 : 778,394 = 778,394 : x
  2. Step 2: Convert to fraction form
    354,706/778,394 = 778,394/x
  3. Step 3: Cross multiply
    354,706x = 778,394 × 778,394
  4. Step 4: Simplify right side
    354,706x = 605,897,219,236
  5. Step 5: Solve for x
    x = 605,897,219,236/354,706
  6. Step 6: Final answer
    x = 1,708,167.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.