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Finding the Third Proportional to 354,699 and 778,379.63

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Solution

The third proportional to 354,699 and 778,379.63 is: 1,708,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,699 : 778,379.63 = 778,379.63 : x
  2. Step 2: Convert to fraction form
    354,699/778,379.63 = 778,379.63/x
  3. Step 3: Cross multiply
    354,699x = 778,379.63 × 778,379.63
  4. Step 4: Simplify right side
    354,699x = 605,874,840,615.14
  5. Step 5: Solve for x
    x = 605,874,840,615.14/354,699
  6. Step 6: Final answer
    x = 1,708,138.00

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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.