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Finding the Third Proportional to 355,039.88 and 499,388.63

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Solution

The third proportional to 355,039.88 and 499,388.63 is: 702,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,039.88 : 499,388.63 = 499,388.63 : x
  2. Step 2: Convert to fraction form
    355,039.88/499,388.63 = 499,388.63/x
  3. Step 3: Cross multiply
    355,039.88x = 499,388.63 × 499,388.63
  4. Step 4: Simplify right side
    355,039.88x = 249,388,998,779.39
  5. Step 5: Solve for x
    x = 249,388,998,779.39/355,039.88
  6. Step 6: Final answer
    x = 702,425.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.