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Finding the Third Proportional to 315,663 and 675,735

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Solution

The third proportional to 315,663 and 675,735 is: 1,446,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,663 : 675,735 = 675,735 : x
  2. Step 2: Convert to fraction form
    315,663/675,735 = 675,735/x
  3. Step 3: Cross multiply
    315,663x = 675,735 × 675,735
  4. Step 4: Simplify right side
    315,663x = 456,617,790,225
  5. Step 5: Solve for x
    x = 456,617,790,225/315,663
  6. Step 6: Final answer
    x = 1,446,535.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.