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Finding the Third Proportional to 311,507 and 488,020

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Solution

The third proportional to 311,507 and 488,020 is: 764,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,507 : 488,020 = 488,020 : x
  2. Step 2: Convert to fraction form
    311,507/488,020 = 488,020/x
  3. Step 3: Cross multiply
    311,507x = 488,020 × 488,020
  4. Step 4: Simplify right side
    311,507x = 238,163,520,400
  5. Step 5: Solve for x
    x = 238,163,520,400/311,507
  6. Step 6: Final answer
    x = 764,552.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.