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Finding the Third Proportional to 398,777.63 and 860,168.25

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Solution

The third proportional to 398,777.63 and 860,168.25 is: 1,855,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,777.63 : 860,168.25 = 860,168.25 : x
  2. Step 2: Convert to fraction form
    398,777.63/860,168.25 = 860,168.25/x
  3. Step 3: Cross multiply
    398,777.63x = 860,168.25 × 860,168.25
  4. Step 4: Simplify right side
    398,777.63x = 739,889,418,308.06
  5. Step 5: Solve for x
    x = 739,889,418,308.06/398,777.63
  6. Step 6: Final answer
    x = 1,855,393.51

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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.