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Finding the Third Proportional to 248,045 and 393,282

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Solution

The third proportional to 248,045 and 393,282 is: 623,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,045 : 393,282 = 393,282 : x
  2. Step 2: Convert to fraction form
    248,045/393,282 = 393,282/x
  3. Step 3: Cross multiply
    248,045x = 393,282 × 393,282
  4. Step 4: Simplify right side
    248,045x = 154,670,731,524
  5. Step 5: Solve for x
    x = 154,670,731,524/248,045
  6. Step 6: Final answer
    x = 623,559.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.