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Finding the Third Proportional to 386,462 and 613,281

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Solution

The third proportional to 386,462 and 613,281 is: 973,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,462 : 613,281 = 613,281 : x
  2. Step 2: Convert to fraction form
    386,462/613,281 = 613,281/x
  3. Step 3: Cross multiply
    386,462x = 613,281 × 613,281
  4. Step 4: Simplify right side
    386,462x = 376,113,584,961
  5. Step 5: Solve for x
    x = 376,113,584,961/386,462
  6. Step 6: Final answer
    x = 973,222.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.