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Finding the Third Proportional to 213,435 and 465,507

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Solution

The third proportional to 213,435 and 465,507 is: 1,015,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,435 : 465,507 = 465,507 : x
  2. Step 2: Convert to fraction form
    213,435/465,507 = 465,507/x
  3. Step 3: Cross multiply
    213,435x = 465,507 × 465,507
  4. Step 4: Simplify right side
    213,435x = 216,696,767,049
  5. Step 5: Solve for x
    x = 216,696,767,049/213,435
  6. Step 6: Final answer
    x = 1,015,282.25

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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.