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Finding the Third Proportional to 145,608 and 298,272

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Solution

The third proportional to 145,608 and 298,272 is: 610,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,608 : 298,272 = 298,272 : x
  2. Step 2: Convert to fraction form
    145,608/298,272 = 298,272/x
  3. Step 3: Cross multiply
    145,608x = 298,272 × 298,272
  4. Step 4: Simplify right side
    145,608x = 88,966,185,984
  5. Step 5: Solve for x
    x = 88,966,185,984/145,608
  6. Step 6: Final answer
    x = 610,997.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.