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Finding the Third Proportional to 311,291.63 and 480,758.63

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Solution

The third proportional to 311,291.63 and 480,758.63 is: 742,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,291.63 : 480,758.63 = 480,758.63 : x
  2. Step 2: Convert to fraction form
    311,291.63/480,758.63 = 480,758.63/x
  3. Step 3: Cross multiply
    311,291.63x = 480,758.63 × 480,758.63
  4. Step 4: Simplify right side
    311,291.63x = 231,128,855,511.89
  5. Step 5: Solve for x
    x = 231,128,855,511.89/311,291.63
  6. Step 6: Final answer
    x = 742,483.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.