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Finding the Third Proportional to 303,576 and 452,902.50

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Solution

The third proportional to 303,576 and 452,902.50 is: 675,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,576 : 452,902.50 = 452,902.50 : x
  2. Step 2: Convert to fraction form
    303,576/452,902.50 = 452,902.50/x
  3. Step 3: Cross multiply
    303,576x = 452,902.50 × 452,902.50
  4. Step 4: Simplify right side
    303,576x = 205,120,674,506.25
  5. Step 5: Solve for x
    x = 205,120,674,506.25/303,576
  6. Step 6: Final answer
    x = 675,681.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.