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Finding the Third Proportional to 205,509.02 and 307,427.91

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Solution

The third proportional to 205,509.02 and 307,427.91 is: 459,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,509.02 : 307,427.91 = 307,427.91 : x
  2. Step 2: Convert to fraction form
    205,509.02/307,427.91 = 307,427.91/x
  3. Step 3: Cross multiply
    205,509.02x = 307,427.91 × 307,427.91
  4. Step 4: Simplify right side
    205,509.02x = 94,511,917,541.26
  5. Step 5: Solve for x
    x = 94,511,917,541.26/205,509.02
  6. Step 6: Final answer
    x = 459,891.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.