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Finding the Third Proportional to 301,980.66 and 657,099.84

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Solution

The third proportional to 301,980.66 and 657,099.84 is: 1,429,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,980.66 : 657,099.84 = 657,099.84 : x
  2. Step 2: Convert to fraction form
    301,980.66/657,099.84 = 657,099.84/x
  3. Step 3: Cross multiply
    301,980.66x = 657,099.84 × 657,099.84
  4. Step 4: Simplify right side
    301,980.66x = 431,780,204,656.27
  5. Step 5: Solve for x
    x = 431,780,204,656.27/301,980.66
  6. Step 6: Final answer
    x = 1,429,827.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.