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Finding the Third Proportional to 354,664 and 778,232

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Solution

The third proportional to 354,664 and 778,232 is: 1,707,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,664 : 778,232 = 778,232 : x
  2. Step 2: Convert to fraction form
    354,664/778,232 = 778,232/x
  3. Step 3: Cross multiply
    354,664x = 778,232 × 778,232
  4. Step 4: Simplify right side
    354,664x = 605,645,045,824
  5. Step 5: Solve for x
    x = 605,645,045,824/354,664
  6. Step 6: Final answer
    x = 1,707,658.65

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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.