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Finding the Third Proportional to 286,501.50 and 628,089.75

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Solution

The third proportional to 286,501.50 and 628,089.75 is: 1,376,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,501.50 : 628,089.75 = 628,089.75 : x
  2. Step 2: Convert to fraction form
    286,501.50/628,089.75 = 628,089.75/x
  3. Step 3: Cross multiply
    286,501.50x = 628,089.75 × 628,089.75
  4. Step 4: Simplify right side
    286,501.50x = 394,496,734,055.06
  5. Step 5: Solve for x
    x = 394,496,734,055.06/286,501.50
  6. Step 6: Final answer
    x = 1,376,944.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.