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Finding the Third Proportional to 413,255 and 638,306

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Solution

The third proportional to 413,255 and 638,306 is: 985,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,255 : 638,306 = 638,306 : x
  2. Step 2: Convert to fraction form
    413,255/638,306 = 638,306/x
  3. Step 3: Cross multiply
    413,255x = 638,306 × 638,306
  4. Step 4: Simplify right side
    413,255x = 407,434,549,636
  5. Step 5: Solve for x
    x = 407,434,549,636/413,255
  6. Step 6: Final answer
    x = 985,915.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.