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Finding the Third Proportional to 297,048 and 459,640

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Solution

The third proportional to 297,048 and 459,640 is: 711,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,048 : 459,640 = 459,640 : x
  2. Step 2: Convert to fraction form
    297,048/459,640 = 459,640/x
  3. Step 3: Cross multiply
    297,048x = 459,640 × 459,640
  4. Step 4: Simplify right side
    297,048x = 211,268,929,600
  5. Step 5: Solve for x
    x = 211,268,929,600/297,048
  6. Step 6: Final answer
    x = 711,228.25

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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.