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Finding the Third Proportional to 310,524 and 439,480

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Solution

The third proportional to 310,524 and 439,480 is: 621,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,524 : 439,480 = 439,480 : x
  2. Step 2: Convert to fraction form
    310,524/439,480 = 439,480/x
  3. Step 3: Cross multiply
    310,524x = 439,480 × 439,480
  4. Step 4: Simplify right side
    310,524x = 193,142,670,400
  5. Step 5: Solve for x
    x = 193,142,670,400/310,524
  6. Step 6: Final answer
    x = 621,989.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.