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Finding the Third Proportional to 208,563,196 and 315,529,170

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Solution

The third proportional to 208,563,196 and 315,529,170 is: 477,354,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563,196 : 315,529,170 = 315,529,170 : x
  2. Step 2: Convert to fraction form
    208,563,196/315,529,170 = 315,529,170/x
  3. Step 3: Cross multiply
    208,563,196x = 315,529,170 × 315,529,170
  4. Step 4: Simplify right side
    208,563,196x = 99,558,657,120,888,896
  5. Step 5: Solve for x
    x = 99,558,657,120,888,896/208,563,196
  6. Step 6: Final answer
    x = 477,354,869.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.