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Finding the Third Proportional to 771.48 and 1,666.35

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Solution

The third proportional to 771.48 and 1,666.35 is: 3,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.48 : 1,666.35 = 1,666.35 : x
  2. Step 2: Convert to fraction form
    771.48/1,666.35 = 1,666.35/x
  3. Step 3: Cross multiply
    771.48x = 1,666.35 × 1,666.35
  4. Step 4: Simplify right side
    771.48x = 2,776,734.04
  5. Step 5: Solve for x
    x = 2,776,734.04/771.48
  6. Step 6: Final answer
    x = 3,599.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.