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Finding the Third Proportional to 282,030 and 431,976

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Solution

The third proportional to 282,030 and 431,976 is: 661,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,030 : 431,976 = 431,976 : x
  2. Step 2: Convert to fraction form
    282,030/431,976 = 431,976/x
  3. Step 3: Cross multiply
    282,030x = 431,976 × 431,976
  4. Step 4: Simplify right side
    282,030x = 186,603,264,576
  5. Step 5: Solve for x
    x = 186,603,264,576/282,030
  6. Step 6: Final answer
    x = 661,643.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.