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Finding the Third Proportional to 668,697.75 and 1,015,818.75

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Solution

The third proportional to 668,697.75 and 1,015,818.75 is: 1,543,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,697.75 : 1,015,818.75 = 1,015,818.75 : x
  2. Step 2: Convert to fraction form
    668,697.75/1,015,818.75 = 1,015,818.75/x
  3. Step 3: Cross multiply
    668,697.75x = 1,015,818.75 × 1,015,818.75
  4. Step 4: Simplify right side
    668,697.75x = 1,031,887,732,851.56
  5. Step 5: Solve for x
    x = 1,031,887,732,851.56/668,697.75
  6. Step 6: Final answer
    x = 1,543,130.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.