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Finding the Third Proportional to 385,286.63 and 613,603.69

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Solution

The third proportional to 385,286.63 and 613,603.69 is: 977,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,286.63 : 613,603.69 = 613,603.69 : x
  2. Step 2: Convert to fraction form
    385,286.63/613,603.69 = 613,603.69/x
  3. Step 3: Cross multiply
    385,286.63x = 613,603.69 × 613,603.69
  4. Step 4: Simplify right side
    385,286.63x = 376,509,485,313.60
  5. Step 5: Solve for x
    x = 376,509,485,313.60/385,286.63
  6. Step 6: Final answer
    x = 977,219.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.