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Finding the Third Proportional to 137,433 and 298,365

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Solution

The third proportional to 137,433 and 298,365 is: 647,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433 : 298,365 = 298,365 : x
  2. Step 2: Convert to fraction form
    137,433/298,365 = 298,365/x
  3. Step 3: Cross multiply
    137,433x = 298,365 × 298,365
  4. Step 4: Simplify right side
    137,433x = 89,021,673,225
  5. Step 5: Solve for x
    x = 89,021,673,225/137,433
  6. Step 6: Final answer
    x = 647,745.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.