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Finding the Third Proportional to 93,480 and 205,104

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Solution

The third proportional to 93,480 and 205,104 is: 450,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,480 : 205,104 = 205,104 : x
  2. Step 2: Convert to fraction form
    93,480/205,104 = 205,104/x
  3. Step 3: Cross multiply
    93,480x = 205,104 × 205,104
  4. Step 4: Simplify right side
    93,480x = 42,067,650,816
  5. Step 5: Solve for x
    x = 42,067,650,816/93,480
  6. Step 6: Final answer
    x = 450,017.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.