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Finding the Third Proportional to 200,347.57 and 438,696.40

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Solution

The third proportional to 200,347.57 and 438,696.40 is: 960,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,347.57 : 438,696.40 = 438,696.40 : x
  2. Step 2: Convert to fraction form
    200,347.57/438,696.40 = 438,696.40/x
  3. Step 3: Cross multiply
    200,347.57x = 438,696.40 × 438,696.40
  4. Step 4: Simplify right side
    200,347.57x = 192,454,527,431.55
  5. Step 5: Solve for x
    x = 192,454,527,431.55/200,347.57
  6. Step 6: Final answer
    x = 960,603.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.