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Finding the Third Proportional to 318,357.84 and 481,636.13

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Solution

The third proportional to 318,357.84 and 481,636.13 is: 728,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,357.84 : 481,636.13 = 481,636.13 : x
  2. Step 2: Convert to fraction form
    318,357.84/481,636.13 = 481,636.13/x
  3. Step 3: Cross multiply
    318,357.84x = 481,636.13 × 481,636.13
  4. Step 4: Simplify right side
    318,357.84x = 231,973,356,905.02
  5. Step 5: Solve for x
    x = 231,973,356,905.02/318,357.84
  6. Step 6: Final answer
    x = 728,656.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.