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Finding the Third Proportional to 408,969.75 and 624,526.25

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Solution

The third proportional to 408,969.75 and 624,526.25 is: 953,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,969.75 : 624,526.25 = 624,526.25 : x
  2. Step 2: Convert to fraction form
    408,969.75/624,526.25 = 624,526.25/x
  3. Step 3: Cross multiply
    408,969.75x = 624,526.25 × 624,526.25
  4. Step 4: Simplify right side
    408,969.75x = 390,033,036,939.06
  5. Step 5: Solve for x
    x = 390,033,036,939.06/408,969.75
  6. Step 6: Final answer
    x = 953,696.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.