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Finding the Third Proportional to 406,416 and 621,336

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Solution

The third proportional to 406,416 and 621,336 is: 949,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,416 : 621,336 = 621,336 : x
  2. Step 2: Convert to fraction form
    406,416/621,336 = 621,336/x
  3. Step 3: Cross multiply
    406,416x = 621,336 × 621,336
  4. Step 4: Simplify right side
    406,416x = 386,058,424,896
  5. Step 5: Solve for x
    x = 386,058,424,896/406,416
  6. Step 6: Final answer
    x = 949,909.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.