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Finding the Third Proportional to 4,985.30 and 7,054.59

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Solution

The third proportional to 4,985.30 and 7,054.59 is: 9,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.30 : 7,054.59 = 7,054.59 : x
  2. Step 2: Convert to fraction form
    4,985.30/7,054.59 = 7,054.59/x
  3. Step 3: Cross multiply
    4,985.30x = 7,054.59 × 7,054.59
  4. Step 4: Simplify right side
    4,985.30x = 49,767,292.98
  5. Step 5: Solve for x
    x = 49,767,292.98/4,985.30
  6. Step 6: Final answer
    x = 9,982.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.