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Finding the Third Proportional to 115,582 and 248,406

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Solution

The third proportional to 115,582 and 248,406 is: 533,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,582 : 248,406 = 248,406 : x
  2. Step 2: Convert to fraction form
    115,582/248,406 = 248,406/x
  3. Step 3: Cross multiply
    115,582x = 248,406 × 248,406
  4. Step 4: Simplify right side
    115,582x = 61,705,540,836
  5. Step 5: Solve for x
    x = 61,705,540,836/115,582
  6. Step 6: Final answer
    x = 533,868.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.