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Finding the Third Proportional to 733,052 and 1,032,278

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Solution

The third proportional to 733,052 and 1,032,278 is: 1,453,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,052 : 1,032,278 = 1,032,278 : x
  2. Step 2: Convert to fraction form
    733,052/1,032,278 = 1,032,278/x
  3. Step 3: Cross multiply
    733,052x = 1,032,278 × 1,032,278
  4. Step 4: Simplify right side
    733,052x = 1,065,597,869,284
  5. Step 5: Solve for x
    x = 1,065,597,869,284/733,052
  6. Step 6: Final answer
    x = 1,453,645.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.