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Finding the Third Proportional to 312,606 and 484,353

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Solution

The third proportional to 312,606 and 484,353 is: 750,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,606 : 484,353 = 484,353 : x
  2. Step 2: Convert to fraction form
    312,606/484,353 = 484,353/x
  3. Step 3: Cross multiply
    312,606x = 484,353 × 484,353
  4. Step 4: Simplify right side
    312,606x = 234,597,828,609
  5. Step 5: Solve for x
    x = 234,597,828,609/312,606
  6. Step 6: Final answer
    x = 750,458.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.