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Finding the Third Proportional to 608.77 and 909.98

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Solution

The third proportional to 608.77 and 909.98 is: 1,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.77 : 909.98 = 909.98 : x
  2. Step 2: Convert to fraction form
    608.77/909.98 = 909.98/x
  3. Step 3: Cross multiply
    608.77x = 909.98 × 909.98
  4. Step 4: Simplify right side
    608.77x = 828,071.56
  5. Step 5: Solve for x
    x = 828,071.56/608.77
  6. Step 6: Final answer
    x = 1,360.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.