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Finding the Third Proportional to 205,319 and 307,143

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Solution

The third proportional to 205,319 and 307,143 is: 459,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,319 : 307,143 = 307,143 : x
  2. Step 2: Convert to fraction form
    205,319/307,143 = 307,143/x
  3. Step 3: Cross multiply
    205,319x = 307,143 × 307,143
  4. Step 4: Simplify right side
    205,319x = 94,336,822,449
  5. Step 5: Solve for x
    x = 94,336,822,449/205,319
  6. Step 6: Final answer
    x = 459,464.65

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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.