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Finding the Third Proportional to 345,093.75 and 706,918.50

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Solution

The third proportional to 345,093.75 and 706,918.50 is: 1,448,110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,093.75 : 706,918.50 = 706,918.50 : x
  2. Step 2: Convert to fraction form
    345,093.75/706,918.50 = 706,918.50/x
  3. Step 3: Cross multiply
    345,093.75x = 706,918.50 × 706,918.50
  4. Step 4: Simplify right side
    345,093.75x = 499,733,765,642.25
  5. Step 5: Solve for x
    x = 499,733,765,642.25/345,093.75
  6. Step 6: Final answer
    x = 1,448,110.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.