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Finding the Third Proportional to 209,840.63 and 449,128.13

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Solution

The third proportional to 209,840.63 and 449,128.13 is: 961,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,840.63 : 449,128.13 = 449,128.13 : x
  2. Step 2: Convert to fraction form
    209,840.63/449,128.13 = 449,128.13/x
  3. Step 3: Cross multiply
    209,840.63x = 449,128.13 × 449,128.13
  4. Step 4: Simplify right side
    209,840.63x = 201,716,072,666.02
  5. Step 5: Solve for x
    x = 201,716,072,666.02/209,840.63
  6. Step 6: Final answer
    x = 961,282.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.