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Finding the Third Proportional to 306,656 and 465,519

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Solution

The third proportional to 306,656 and 465,519 is: 706,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,656 : 465,519 = 465,519 : x
  2. Step 2: Convert to fraction form
    306,656/465,519 = 465,519/x
  3. Step 3: Cross multiply
    306,656x = 465,519 × 465,519
  4. Step 4: Simplify right side
    306,656x = 216,707,939,361
  5. Step 5: Solve for x
    x = 216,707,939,361/306,656
  6. Step 6: Final answer
    x = 706,680.90

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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.