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Finding the Third Proportional to 553,678.88 and 855,015.75

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Solution

The third proportional to 553,678.88 and 855,015.75 is: 1,320,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,678.88 : 855,015.75 = 855,015.75 : x
  2. Step 2: Convert to fraction form
    553,678.88/855,015.75 = 855,015.75/x
  3. Step 3: Cross multiply
    553,678.88x = 855,015.75 × 855,015.75
  4. Step 4: Simplify right side
    553,678.88x = 731,051,932,748.06
  5. Step 5: Solve for x
    x = 731,051,932,748.06/553,678.88
  6. Step 6: Final answer
    x = 1,320,353.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.