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Finding the Third Proportional to 270,941.63 and 421,927.31

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Solution

The third proportional to 270,941.63 and 421,927.31 is: 657,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,941.63 : 421,927.31 = 421,927.31 : x
  2. Step 2: Convert to fraction form
    270,941.63/421,927.31 = 421,927.31/x
  3. Step 3: Cross multiply
    270,941.63x = 421,927.31 × 421,927.31
  4. Step 4: Simplify right side
    270,941.63x = 178,022,657,033.47
  5. Step 5: Solve for x
    x = 178,022,657,033.47/270,941.63
  6. Step 6: Final answer
    x = 657,051.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.