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Finding the Third Proportional to 284,629.50 and 428,811.75

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Solution

The third proportional to 284,629.50 and 428,811.75 is: 646,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,629.50 : 428,811.75 = 428,811.75 : x
  2. Step 2: Convert to fraction form
    284,629.50/428,811.75 = 428,811.75/x
  3. Step 3: Cross multiply
    284,629.50x = 428,811.75 × 428,811.75
  4. Step 4: Simplify right side
    284,629.50x = 183,879,516,938.06
  5. Step 5: Solve for x
    x = 183,879,516,938.06/284,629.50
  6. Step 6: Final answer
    x = 646,031.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.