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Finding the Third Proportional to 281,121.47 and 400,653.84

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Solution

The third proportional to 281,121.47 and 400,653.84 is: 571,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,121.47 : 400,653.84 = 400,653.84 : x
  2. Step 2: Convert to fraction form
    281,121.47/400,653.84 = 400,653.84/x
  3. Step 3: Cross multiply
    281,121.47x = 400,653.84 × 400,653.84
  4. Step 4: Simplify right side
    281,121.47x = 160,523,502,511.65
  5. Step 5: Solve for x
    x = 160,523,502,511.65/281,121.47
  6. Step 6: Final answer
    x = 571,011.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.