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Finding the Third Proportional to 240,294 and 511,646

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Solution

The third proportional to 240,294 and 511,646 is: 1,089,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,294 : 511,646 = 511,646 : x
  2. Step 2: Convert to fraction form
    240,294/511,646 = 511,646/x
  3. Step 3: Cross multiply
    240,294x = 511,646 × 511,646
  4. Step 4: Simplify right side
    240,294x = 261,781,629,316
  5. Step 5: Solve for x
    x = 261,781,629,316/240,294
  6. Step 6: Final answer
    x = 1,089,422.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.