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Finding the Third Proportional to 205,307 and 307,125

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Solution

The third proportional to 205,307 and 307,125 is: 459,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,307 : 307,125 = 307,125 : x
  2. Step 2: Convert to fraction form
    205,307/307,125 = 307,125/x
  3. Step 3: Cross multiply
    205,307x = 307,125 × 307,125
  4. Step 4: Simplify right side
    205,307x = 94,325,765,625
  5. Step 5: Solve for x
    x = 94,325,765,625/205,307
  6. Step 6: Final answer
    x = 459,437.65

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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.