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Finding the Third Proportional to 281,013.75 and 428,559.75

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Solution

The third proportional to 281,013.75 and 428,559.75 is: 653,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,013.75 : 428,559.75 = 428,559.75 : x
  2. Step 2: Convert to fraction form
    281,013.75/428,559.75 = 428,559.75/x
  3. Step 3: Cross multiply
    281,013.75x = 428,559.75 × 428,559.75
  4. Step 4: Simplify right side
    281,013.75x = 183,663,459,320.06
  5. Step 5: Solve for x
    x = 183,663,459,320.06/281,013.75
  6. Step 6: Final answer
    x = 653,574.64

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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.