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Finding the Third Proportional to 219,494,388.50 and 315,490,433

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Solution

The third proportional to 219,494,388.50 and 315,490,433 is: 453,470,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,494,388.50 : 315,490,433 = 315,490,433 : x
  2. Step 2: Convert to fraction form
    219,494,388.50/315,490,433 = 315,490,433/x
  3. Step 3: Cross multiply
    219,494,388.50x = 315,490,433 × 315,490,433
  4. Step 4: Simplify right side
    219,494,388.50x = 99,534,213,314,527,488
  5. Step 5: Solve for x
    x = 99,534,213,314,527,488/219,494,388.50
  6. Step 6: Final answer
    x = 453,470,423.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.