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Finding the Third Proportional to 628,701 and 1,286,454

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Solution

The third proportional to 628,701 and 1,286,454 is: 2,632,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,701 : 1,286,454 = 1,286,454 : x
  2. Step 2: Convert to fraction form
    628,701/1,286,454 = 1,286,454/x
  3. Step 3: Cross multiply
    628,701x = 1,286,454 × 1,286,454
  4. Step 4: Simplify right side
    628,701x = 1,654,963,894,116
  5. Step 5: Solve for x
    x = 1,654,963,894,116/628,701
  6. Step 6: Final answer
    x = 2,632,354.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.