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Finding the Third Proportional to 354,670 and 778,243

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Solution

The third proportional to 354,670 and 778,243 is: 1,707,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,670 : 778,243 = 778,243 : x
  2. Step 2: Convert to fraction form
    354,670/778,243 = 778,243/x
  3. Step 3: Cross multiply
    354,670x = 778,243 × 778,243
  4. Step 4: Simplify right side
    354,670x = 605,662,167,049
  5. Step 5: Solve for x
    x = 605,662,167,049/354,670
  6. Step 6: Final answer
    x = 1,707,678.03

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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.