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Finding the Third Proportional to 354,663 and 778,230

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Solution

The third proportional to 354,663 and 778,230 is: 1,707,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,663 : 778,230 = 778,230 : x
  2. Step 2: Convert to fraction form
    354,663/778,230 = 778,230/x
  3. Step 3: Cross multiply
    354,663x = 778,230 × 778,230
  4. Step 4: Simplify right side
    354,663x = 605,641,932,900
  5. Step 5: Solve for x
    x = 605,641,932,900/354,663
  6. Step 6: Final answer
    x = 1,707,654.68

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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.