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Finding the Third Proportional to 286,850 and 623,452

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Solution

The third proportional to 286,850 and 623,452 is: 1,355,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,850 : 623,452 = 623,452 : x
  2. Step 2: Convert to fraction form
    286,850/623,452 = 623,452/x
  3. Step 3: Cross multiply
    286,850x = 623,452 × 623,452
  4. Step 4: Simplify right side
    286,850x = 388,692,396,304
  5. Step 5: Solve for x
    x = 388,692,396,304/286,850
  6. Step 6: Final answer
    x = 1,355,037.11

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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.