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Finding the Third Proportional to 284,188.50 and 621,806.63

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Solution

The third proportional to 284,188.50 and 621,806.63 is: 1,360,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,188.50 : 621,806.63 = 621,806.63 : x
  2. Step 2: Convert to fraction form
    284,188.50/621,806.63 = 621,806.63/x
  3. Step 3: Cross multiply
    284,188.50x = 621,806.63 × 621,806.63
  4. Step 4: Simplify right side
    284,188.50x = 386,643,478,893.89
  5. Step 5: Solve for x
    x = 386,643,478,893.89/284,188.50
  6. Step 6: Final answer
    x = 1,360,517.68

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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.