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Finding the Third Proportional to 207,360 and 321,696

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Solution

The third proportional to 207,360 and 321,696 is: 499,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,360 : 321,696 = 321,696 : x
  2. Step 2: Convert to fraction form
    207,360/321,696 = 321,696/x
  3. Step 3: Cross multiply
    207,360x = 321,696 × 321,696
  4. Step 4: Simplify right side
    207,360x = 103,488,316,416
  5. Step 5: Solve for x
    x = 103,488,316,416/207,360
  6. Step 6: Final answer
    x = 499,075.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.