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Finding the Third Proportional to 290,543 and 629,341

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Solution

The third proportional to 290,543 and 629,341 is: 1,363,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,543 : 629,341 = 629,341 : x
  2. Step 2: Convert to fraction form
    290,543/629,341 = 629,341/x
  3. Step 3: Cross multiply
    290,543x = 629,341 × 629,341
  4. Step 4: Simplify right side
    290,543x = 396,070,094,281
  5. Step 5: Solve for x
    x = 396,070,094,281/290,543
  6. Step 6: Final answer
    x = 1,363,206.46

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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.