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Finding the Third Proportional to 216,300 and 322,656

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Solution

The third proportional to 216,300 and 322,656 is: 481,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,300 : 322,656 = 322,656 : x
  2. Step 2: Convert to fraction form
    216,300/322,656 = 322,656/x
  3. Step 3: Cross multiply
    216,300x = 322,656 × 322,656
  4. Step 4: Simplify right side
    216,300x = 104,106,894,336
  5. Step 5: Solve for x
    x = 104,106,894,336/216,300
  6. Step 6: Final answer
    x = 481,307.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.