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Finding the Third Proportional to 445,034.25 and 689,541

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Solution

The third proportional to 445,034.25 and 689,541 is: 1,068,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,034.25 : 689,541 = 689,541 : x
  2. Step 2: Convert to fraction form
    445,034.25/689,541 = 689,541/x
  3. Step 3: Cross multiply
    445,034.25x = 689,541 × 689,541
  4. Step 4: Simplify right side
    445,034.25x = 475,466,790,681
  5. Step 5: Solve for x
    x = 475,466,790,681/445,034.25
  6. Step 6: Final answer
    x = 1,068,382.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.