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Finding the Third Proportional to 310,851 and 456,075

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Solution

The third proportional to 310,851 and 456,075 is: 669,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,851 : 456,075 = 456,075 : x
  2. Step 2: Convert to fraction form
    310,851/456,075 = 456,075/x
  3. Step 3: Cross multiply
    310,851x = 456,075 × 456,075
  4. Step 4: Simplify right side
    310,851x = 208,004,405,625
  5. Step 5: Solve for x
    x = 208,004,405,625/310,851
  6. Step 6: Final answer
    x = 669,145.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.