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Finding the Third Proportional to 511,402 and 1,076,720

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Solution

The third proportional to 511,402 and 1,076,720 is: 2,266,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,402 : 1,076,720 = 1,076,720 : x
  2. Step 2: Convert to fraction form
    511,402/1,076,720 = 1,076,720/x
  3. Step 3: Cross multiply
    511,402x = 1,076,720 × 1,076,720
  4. Step 4: Simplify right side
    511,402x = 1,159,325,958,400
  5. Step 5: Solve for x
    x = 1,159,325,958,400/511,402
  6. Step 6: Final answer
    x = 2,266,956.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.