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Finding the Third Proportional to 77,764 and 163,361.50

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Solution

The third proportional to 77,764 and 163,361.50 is: 343,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,764 : 163,361.50 = 163,361.50 : x
  2. Step 2: Convert to fraction form
    77,764/163,361.50 = 163,361.50/x
  3. Step 3: Cross multiply
    77,764x = 163,361.50 × 163,361.50
  4. Step 4: Simplify right side
    77,764x = 26,686,979,682.25
  5. Step 5: Solve for x
    x = 26,686,979,682.25/77,764
  6. Step 6: Final answer
    x = 343,179.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.