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Finding the Third Proportional to 223,954,335 and 320,255,086.50

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Solution

The third proportional to 223,954,335 and 320,255,086.50 is: 457,965,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,954,335 : 320,255,086.50 = 320,255,086.50 : x
  2. Step 2: Convert to fraction form
    223,954,335/320,255,086.50 = 320,255,086.50/x
  3. Step 3: Cross multiply
    223,954,335x = 320,255,086.50 × 320,255,086.50
  4. Step 4: Simplify right side
    223,954,335x = 102,563,320,429,122,480
  5. Step 5: Solve for x
    x = 102,563,320,429,122,480/223,954,335
  6. Step 6: Final answer
    x = 457,965,327.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.