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Finding the Third Proportional to 354.06 and 777.63

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Solution

The third proportional to 354.06 and 777.63 is: 1,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.06 : 777.63 = 777.63 : x
  2. Step 2: Convert to fraction form
    354.06/777.63 = 777.63/x
  3. Step 3: Cross multiply
    354.06x = 777.63 × 777.63
  4. Step 4: Simplify right side
    354.06x = 604,700.64
  5. Step 5: Solve for x
    x = 604,700.64/354.06
  6. Step 6: Final answer
    x = 1,707.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.