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Finding the Third Proportional to 284,141.25 and 438,878.25

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Solution

The third proportional to 284,141.25 and 438,878.25 is: 677,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,141.25 : 438,878.25 = 438,878.25 : x
  2. Step 2: Convert to fraction form
    284,141.25/438,878.25 = 438,878.25/x
  3. Step 3: Cross multiply
    284,141.25x = 438,878.25 × 438,878.25
  4. Step 4: Simplify right side
    284,141.25x = 192,614,118,323.06
  5. Step 5: Solve for x
    x = 192,614,118,323.06/284,141.25
  6. Step 6: Final answer
    x = 677,881.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.