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Finding the Third Proportional to 94,540,480 and 205,645,296

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Solution

The third proportional to 94,540,480 and 205,645,296 is: 447,321,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,480 : 205,645,296 = 205,645,296 : x
  2. Step 2: Convert to fraction form
    94,540,480/205,645,296 = 205,645,296/x
  3. Step 3: Cross multiply
    94,540,480x = 205,645,296 × 205,645,296
  4. Step 4: Simplify right side
    94,540,480x = 42,289,987,766,927,616
  5. Step 5: Solve for x
    x = 42,289,987,766,927,616/94,540,480
  6. Step 6: Final answer
    x = 447,321,483.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.