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Finding the Third Proportional to 205,317 and 307,140

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Solution

The third proportional to 205,317 and 307,140 is: 459,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,317 : 307,140 = 307,140 : x
  2. Step 2: Convert to fraction form
    205,317/307,140 = 307,140/x
  3. Step 3: Cross multiply
    205,317x = 307,140 × 307,140
  4. Step 4: Simplify right side
    205,317x = 94,334,979,600
  5. Step 5: Solve for x
    x = 94,334,979,600/205,317
  6. Step 6: Final answer
    x = 459,460.15

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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.