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Finding the Third Proportional to 284,127.75 and 423,685.69

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Solution

The third proportional to 284,127.75 and 423,685.69 is: 631,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,127.75 : 423,685.69 = 423,685.69 : x
  2. Step 2: Convert to fraction form
    284,127.75/423,685.69 = 423,685.69/x
  3. Step 3: Cross multiply
    284,127.75x = 423,685.69 × 423,685.69
  4. Step 4: Simplify right side
    284,127.75x = 179,509,561,792.35
  5. Step 5: Solve for x
    x = 179,509,561,792.35/284,127.75
  6. Step 6: Final answer
    x = 631,791.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.