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Finding the Third Proportional to 358,638 and 502,623

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Solution

The third proportional to 358,638 and 502,623 is: 704,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,638 : 502,623 = 502,623 : x
  2. Step 2: Convert to fraction form
    358,638/502,623 = 502,623/x
  3. Step 3: Cross multiply
    358,638x = 502,623 × 502,623
  4. Step 4: Simplify right side
    358,638x = 252,629,880,129
  5. Step 5: Solve for x
    x = 252,629,880,129/358,638
  6. Step 6: Final answer
    x = 704,414.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.