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Finding the Third Proportional to 287,541.38 and 451,103.63

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Solution

The third proportional to 287,541.38 and 451,103.63 is: 707,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,541.38 : 451,103.63 = 451,103.63 : x
  2. Step 2: Convert to fraction form
    287,541.38/451,103.63 = 451,103.63/x
  3. Step 3: Cross multiply
    287,541.38x = 451,103.63 × 451,103.63
  4. Step 4: Simplify right side
    287,541.38x = 203,494,480,488.14
  5. Step 5: Solve for x
    x = 203,494,480,488.14/287,541.38
  6. Step 6: Final answer
    x = 707,705.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.