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Finding the Third Proportional to 306,653 and 465,515

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Solution

The third proportional to 306,653 and 465,515 is: 706,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,653 : 465,515 = 465,515 : x
  2. Step 2: Convert to fraction form
    306,653/465,515 = 465,515/x
  3. Step 3: Cross multiply
    306,653x = 465,515 × 465,515
  4. Step 4: Simplify right side
    306,653x = 216,704,215,225
  5. Step 5: Solve for x
    x = 216,704,215,225/306,653
  6. Step 6: Final answer
    x = 706,675.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.