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Finding the Third Proportional to 309,837 and 676,537

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Solution

The third proportional to 309,837 and 676,537 is: 1,477,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,837 : 676,537 = 676,537 : x
  2. Step 2: Convert to fraction form
    309,837/676,537 = 676,537/x
  3. Step 3: Cross multiply
    309,837x = 676,537 × 676,537
  4. Step 4: Simplify right side
    309,837x = 457,702,312,369
  5. Step 5: Solve for x
    x = 457,702,312,369/309,837
  6. Step 6: Final answer
    x = 1,477,235.81

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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.