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Finding the Third Proportional to 222,555,600 and 478,019,328

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Solution

The third proportional to 222,555,600 and 478,019,328 is: 1,026,720,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,555,600 : 478,019,328 = 478,019,328 : x
  2. Step 2: Convert to fraction form
    222,555,600/478,019,328 = 478,019,328/x
  3. Step 3: Cross multiply
    222,555,600x = 478,019,328 × 478,019,328
  4. Step 4: Simplify right side
    222,555,600x = 228,502,477,941,571,584
  5. Step 5: Solve for x
    x = 228,502,477,941,571,584/222,555,600
  6. Step 6: Final answer
    x = 1,026,720,864.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.