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Finding the Third Proportional to 205,533.50 and 450,343

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Solution

The third proportional to 205,533.50 and 450,343 is: 986,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,533.50 : 450,343 = 450,343 : x
  2. Step 2: Convert to fraction form
    205,533.50/450,343 = 450,343/x
  3. Step 3: Cross multiply
    205,533.50x = 450,343 × 450,343
  4. Step 4: Simplify right side
    205,533.50x = 202,808,817,649
  5. Step 5: Solve for x
    x = 202,808,817,649/205,533.50
  6. Step 6: Final answer
    x = 986,743.37

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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.