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Finding the Third Proportional to 397,051.88 and 859,703.63

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Solution

The third proportional to 397,051.88 and 859,703.63 is: 1,861,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,051.88 : 859,703.63 = 859,703.63 : x
  2. Step 2: Convert to fraction form
    397,051.88/859,703.63 = 859,703.63/x
  3. Step 3: Cross multiply
    397,051.88x = 859,703.63 × 859,703.63
  4. Step 4: Simplify right side
    397,051.88x = 739,090,322,838.14
  5. Step 5: Solve for x
    x = 739,090,322,838.14/397,051.88
  6. Step 6: Final answer
    x = 1,861,445.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.