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Finding the Third Proportional to 213,437 and 465,511

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Solution

The third proportional to 213,437 and 465,511 is: 1,015,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,437 : 465,511 = 465,511 : x
  2. Step 2: Convert to fraction form
    213,437/465,511 = 465,511/x
  3. Step 3: Cross multiply
    213,437x = 465,511 × 465,511
  4. Step 4: Simplify right side
    213,437x = 216,700,491,121
  5. Step 5: Solve for x
    x = 216,700,491,121/213,437
  6. Step 6: Final answer
    x = 1,015,290.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.