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Finding the Third Proportional to 290,716 and 439,640

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Solution

The third proportional to 290,716 and 439,640 is: 664,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,716 : 439,640 = 439,640 : x
  2. Step 2: Convert to fraction form
    290,716/439,640 = 439,640/x
  3. Step 3: Cross multiply
    290,716x = 439,640 × 439,640
  4. Step 4: Simplify right side
    290,716x = 193,283,329,600
  5. Step 5: Solve for x
    x = 193,283,329,600/290,716
  6. Step 6: Final answer
    x = 664,852.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.