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Finding the Third Proportional to 212,947 and 465,638

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Solution

The third proportional to 212,947 and 465,638 is: 1,018,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,947 : 465,638 = 465,638 : x
  2. Step 2: Convert to fraction form
    212,947/465,638 = 465,638/x
  3. Step 3: Cross multiply
    212,947x = 465,638 × 465,638
  4. Step 4: Simplify right side
    212,947x = 216,818,747,044
  5. Step 5: Solve for x
    x = 216,818,747,044/212,947
  6. Step 6: Final answer
    x = 1,018,181.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.