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Finding the Third Proportional to 45,390 and 99,393

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Solution

The third proportional to 45,390 and 99,393 is: 217,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,390 : 99,393 = 99,393 : x
  2. Step 2: Convert to fraction form
    45,390/99,393 = 99,393/x
  3. Step 3: Cross multiply
    45,390x = 99,393 × 99,393
  4. Step 4: Simplify right side
    45,390x = 9,878,968,449
  5. Step 5: Solve for x
    x = 9,878,968,449/45,390
  6. Step 6: Final answer
    x = 217,646.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.