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Finding the Third Proportional to 289,492 and 628,498

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Solution

The third proportional to 289,492 and 628,498 is: 1,364,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,492 : 628,498 = 628,498 : x
  2. Step 2: Convert to fraction form
    289,492/628,498 = 628,498/x
  3. Step 3: Cross multiply
    289,492x = 628,498 × 628,498
  4. Step 4: Simplify right side
    289,492x = 395,009,736,004
  5. Step 5: Solve for x
    x = 395,009,736,004/289,492
  6. Step 6: Final answer
    x = 1,364,492.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.