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Finding the Third Proportional to 679,140 and 919,062

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Solution

The third proportional to 679,140 and 919,062 is: 1,243,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,140 : 919,062 = 919,062 : x
  2. Step 2: Convert to fraction form
    679,140/919,062 = 919,062/x
  3. Step 3: Cross multiply
    679,140x = 919,062 × 919,062
  4. Step 4: Simplify right side
    679,140x = 844,674,959,844
  5. Step 5: Solve for x
    x = 844,674,959,844/679,140
  6. Step 6: Final answer
    x = 1,243,742.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.