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Finding the Third Proportional to 205,918 and 307,069

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Solution

The third proportional to 205,918 and 307,069 is: 457,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,918 : 307,069 = 307,069 : x
  2. Step 2: Convert to fraction form
    205,918/307,069 = 307,069/x
  3. Step 3: Cross multiply
    205,918x = 307,069 × 307,069
  4. Step 4: Simplify right side
    205,918x = 94,291,370,761
  5. Step 5: Solve for x
    x = 94,291,370,761/205,918
  6. Step 6: Final answer
    x = 457,907.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.