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Finding the Third Proportional to 200,145.94 and 311,698.13

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Solution

The third proportional to 200,145.94 and 311,698.13 is: 485,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,145.94 : 311,698.13 = 311,698.13 : x
  2. Step 2: Convert to fraction form
    200,145.94/311,698.13 = 311,698.13/x
  3. Step 3: Cross multiply
    200,145.94x = 311,698.13 × 311,698.13
  4. Step 4: Simplify right side
    200,145.94x = 97,155,721,128.52
  5. Step 5: Solve for x
    x = 97,155,721,128.52/200,145.94
  6. Step 6: Final answer
    x = 485,424.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.