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Finding the Third Proportional to 223,021,515 and 478,327,686

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Solution

The third proportional to 223,021,515 and 478,327,686 is: 1,025,898,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,021,515 : 478,327,686 = 478,327,686 : x
  2. Step 2: Convert to fraction form
    223,021,515/478,327,686 = 478,327,686/x
  3. Step 3: Cross multiply
    223,021,515x = 478,327,686 × 478,327,686
  4. Step 4: Simplify right side
    223,021,515x = 228,797,375,194,114,592
  5. Step 5: Solve for x
    x = 228,797,375,194,114,592/223,021,515
  6. Step 6: Final answer
    x = 1,025,898,219.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.