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Finding the Third Proportional to 196,715.81 and 288,618.75

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Solution

The third proportional to 196,715.81 and 288,618.75 is: 423,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,715.81 : 288,618.75 = 288,618.75 : x
  2. Step 2: Convert to fraction form
    196,715.81/288,618.75 = 288,618.75/x
  3. Step 3: Cross multiply
    196,715.81x = 288,618.75 × 288,618.75
  4. Step 4: Simplify right side
    196,715.81x = 83,300,782,851.56
  5. Step 5: Solve for x
    x = 83,300,782,851.56/196,715.81
  6. Step 6: Final answer
    x = 423,457.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.