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Finding the Third Proportional to 380,436.75 and 803,307.38

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Solution

The third proportional to 380,436.75 and 803,307.38 is: 1,696,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,436.75 : 803,307.38 = 803,307.38 : x
  2. Step 2: Convert to fraction form
    380,436.75/803,307.38 = 803,307.38/x
  3. Step 3: Cross multiply
    380,436.75x = 803,307.38 × 803,307.38
  4. Step 4: Simplify right side
    380,436.75x = 645,302,738,729.39
  5. Step 5: Solve for x
    x = 645,302,738,729.39/380,436.75
  6. Step 6: Final answer
    x = 1,696,215.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.