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Finding the Third Proportional to 431,946 and 486,075

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Solution

The third proportional to 431,946 and 486,075 is: 546,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,946 : 486,075 = 486,075 : x
  2. Step 2: Convert to fraction form
    431,946/486,075 = 486,075/x
  3. Step 3: Cross multiply
    431,946x = 486,075 × 486,075
  4. Step 4: Simplify right side
    431,946x = 236,268,905,625
  5. Step 5: Solve for x
    x = 236,268,905,625/431,946
  6. Step 6: Final answer
    x = 546,987.14

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.