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Finding the Third Proportional to 305,602.88 and 449,038.69

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Solution

The third proportional to 305,602.88 and 449,038.69 is: 659,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,602.88 : 449,038.69 = 449,038.69 : x
  2. Step 2: Convert to fraction form
    305,602.88/449,038.69 = 449,038.69/x
  3. Step 3: Cross multiply
    305,602.88x = 449,038.69 × 449,038.69
  4. Step 4: Simplify right side
    305,602.88x = 201,635,742,871.72
  5. Step 5: Solve for x
    x = 201,635,742,871.72/305,602.88
  6. Step 6: Final answer
    x = 659,796.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.