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Finding the Third Proportional to 310,356 and 666,642.75

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Solution

The third proportional to 310,356 and 666,642.75 is: 1,431,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,356 : 666,642.75 = 666,642.75 : x
  2. Step 2: Convert to fraction form
    310,356/666,642.75 = 666,642.75/x
  3. Step 3: Cross multiply
    310,356x = 666,642.75 × 666,642.75
  4. Step 4: Simplify right side
    310,356x = 444,412,556,127.56
  5. Step 5: Solve for x
    x = 444,412,556,127.56/310,356
  6. Step 6: Final answer
    x = 1,431,944.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.