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Finding the Third Proportional to 284,069.25 and 621,583.88

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Solution

The third proportional to 284,069.25 and 621,583.88 is: 1,360,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,069.25 : 621,583.88 = 621,583.88 : x
  2. Step 2: Convert to fraction form
    284,069.25/621,583.88 = 621,583.88/x
  3. Step 3: Cross multiply
    284,069.25x = 621,583.88 × 621,583.88
  4. Step 4: Simplify right side
    284,069.25x = 386,366,513,660.02
  5. Step 5: Solve for x
    x = 386,366,513,660.02/284,069.25
  6. Step 6: Final answer
    x = 1,360,113.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.