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Finding the Third Proportional to 298,610,943.25 and 463,638,215

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Solution

The third proportional to 298,610,943.25 and 463,638,215 is: 719,867,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,610,943.25 : 463,638,215 = 463,638,215 : x
  2. Step 2: Convert to fraction form
    298,610,943.25/463,638,215 = 463,638,215/x
  3. Step 3: Cross multiply
    298,610,943.25x = 463,638,215 × 463,638,215
  4. Step 4: Simplify right side
    298,610,943.25x = 214,960,394,408,386,240
  5. Step 5: Solve for x
    x = 214,960,394,408,386,240/298,610,943.25
  6. Step 6: Final answer
    x = 719,867,771.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.