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Finding the Third Proportional to 200,670 and 312,075

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Solution

The third proportional to 200,670 and 312,075 is: 485,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,670 : 312,075 = 312,075 : x
  2. Step 2: Convert to fraction form
    200,670/312,075 = 312,075/x
  3. Step 3: Cross multiply
    200,670x = 312,075 × 312,075
  4. Step 4: Simplify right side
    200,670x = 97,390,805,625
  5. Step 5: Solve for x
    x = 97,390,805,625/200,670
  6. Step 6: Final answer
    x = 485,328.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.