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Finding the Third Proportional to 438,093 and 676,485

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Solution

The third proportional to 438,093 and 676,485 is: 1,044,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,093 : 676,485 = 676,485 : x
  2. Step 2: Convert to fraction form
    438,093/676,485 = 676,485/x
  3. Step 3: Cross multiply
    438,093x = 676,485 × 676,485
  4. Step 4: Simplify right side
    438,093x = 457,631,955,225
  5. Step 5: Solve for x
    x = 457,631,955,225/438,093
  6. Step 6: Final answer
    x = 1,044,600.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.