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Finding the Third Proportional to 145,391.63 and 317,786.63

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Solution

The third proportional to 145,391.63 and 317,786.63 is: 694,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,391.63 : 317,786.63 = 317,786.63 : x
  2. Step 2: Convert to fraction form
    145,391.63/317,786.63 = 317,786.63/x
  3. Step 3: Cross multiply
    145,391.63x = 317,786.63 × 317,786.63
  4. Step 4: Simplify right side
    145,391.63x = 100,988,339,028.89
  5. Step 5: Solve for x
    x = 100,988,339,028.89/145,391.63
  6. Step 6: Final answer
    x = 694,595.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.