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Finding the Third Proportional to 5,783.91 and 9,075.80

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Solution

The third proportional to 5,783.91 and 9,075.80 is: 14,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.91 : 9,075.80 = 9,075.80 : x
  2. Step 2: Convert to fraction form
    5,783.91/9,075.80 = 9,075.80/x
  3. Step 3: Cross multiply
    5,783.91x = 9,075.80 × 9,075.80
  4. Step 4: Simplify right side
    5,783.91x = 82,370,088.92
  5. Step 5: Solve for x
    x = 82,370,088.92/5,783.91
  6. Step 6: Final answer
    x = 14,241.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.