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Finding the Third Proportional to 213,428 and 321,549

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Solution

The third proportional to 213,428 and 321,549 is: 484,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,428 : 321,549 = 321,549 : x
  2. Step 2: Convert to fraction form
    213,428/321,549 = 321,549/x
  3. Step 3: Cross multiply
    213,428x = 321,549 × 321,549
  4. Step 4: Simplify right side
    213,428x = 103,393,759,401
  5. Step 5: Solve for x
    x = 103,393,759,401/213,428
  6. Step 6: Final answer
    x = 484,443.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.