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Finding the Third Proportional to 286,545 and 624,444

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Solution

The third proportional to 286,545 and 624,444 is: 1,360,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,545 : 624,444 = 624,444 : x
  2. Step 2: Convert to fraction form
    286,545/624,444 = 624,444/x
  3. Step 3: Cross multiply
    286,545x = 624,444 × 624,444
  4. Step 4: Simplify right side
    286,545x = 389,930,309,136
  5. Step 5: Solve for x
    x = 389,930,309,136/286,545
  6. Step 6: Final answer
    x = 1,360,799.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.