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Finding the Third Proportional to 130,443,619 and 284,324,774

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Solution

The third proportional to 130,443,619 and 284,324,774 is: 619,735,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,443,619 : 284,324,774 = 284,324,774 : x
  2. Step 2: Convert to fraction form
    130,443,619/284,324,774 = 284,324,774/x
  3. Step 3: Cross multiply
    130,443,619x = 284,324,774 × 284,324,774
  4. Step 4: Simplify right side
    130,443,619x = 80,840,577,110,151,072
  5. Step 5: Solve for x
    x = 80,840,577,110,151,072/130,443,619
  6. Step 6: Final answer
    x = 619,735,773.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.