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Finding the Third Proportional to 309,840 and 676,536

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Solution

The third proportional to 309,840 and 676,536 is: 1,477,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,840 : 676,536 = 676,536 : x
  2. Step 2: Convert to fraction form
    309,840/676,536 = 676,536/x
  3. Step 3: Cross multiply
    309,840x = 676,536 × 676,536
  4. Step 4: Simplify right side
    309,840x = 457,700,959,296
  5. Step 5: Solve for x
    x = 457,700,959,296/309,840
  6. Step 6: Final answer
    x = 1,477,217.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.