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Finding the Third Proportional to 284,264.63 and 621,940.13

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Solution

The third proportional to 284,264.63 and 621,940.13 is: 1,360,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,264.63 : 621,940.13 = 621,940.13 : x
  2. Step 2: Convert to fraction form
    284,264.63/621,940.13 = 621,940.13/x
  3. Step 3: Cross multiply
    284,264.63x = 621,940.13 × 621,940.13
  4. Step 4: Simplify right side
    284,264.63x = 386,809,519,085.02
  5. Step 5: Solve for x
    x = 386,809,519,085.02/284,264.63
  6. Step 6: Final answer
    x = 1,360,737.44

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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.