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Finding the Third Proportional to 445,339.13 and 671,815.69

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Solution

The third proportional to 445,339.13 and 671,815.69 is: 1,013,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,339.13 : 671,815.69 = 671,815.69 : x
  2. Step 2: Convert to fraction form
    445,339.13/671,815.69 = 671,815.69/x
  3. Step 3: Cross multiply
    445,339.13x = 671,815.69 × 671,815.69
  4. Step 4: Simplify right side
    445,339.13x = 451,336,317,971.10
  5. Step 5: Solve for x
    x = 451,336,317,971.10/445,339.13
  6. Step 6: Final answer
    x = 1,013,466.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.