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Finding the Third Proportional to 307,899 and 460,620

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Solution

The third proportional to 307,899 and 460,620 is: 689,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,899 : 460,620 = 460,620 : x
  2. Step 2: Convert to fraction form
    307,899/460,620 = 460,620/x
  3. Step 3: Cross multiply
    307,899x = 460,620 × 460,620
  4. Step 4: Simplify right side
    307,899x = 212,170,784,400
  5. Step 5: Solve for x
    x = 212,170,784,400/307,899
  6. Step 6: Final answer
    x = 689,092.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.