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Finding the Third Proportional to 389,638.69 and 563,802.19

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Solution

The third proportional to 389,638.69 and 563,802.19 is: 815,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,638.69 : 563,802.19 = 563,802.19 : x
  2. Step 2: Convert to fraction form
    389,638.69/563,802.19 = 563,802.19/x
  3. Step 3: Cross multiply
    389,638.69x = 563,802.19 × 563,802.19
  4. Step 4: Simplify right side
    389,638.69x = 317,872,906,629.79
  5. Step 5: Solve for x
    x = 317,872,906,629.79/389,638.69
  6. Step 6: Final answer
    x = 815,814.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.