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Finding the Third Proportional to 406,420 and 621,342

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Solution

The third proportional to 406,420 and 621,342 is: 949,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,420 : 621,342 = 621,342 : x
  2. Step 2: Convert to fraction form
    406,420/621,342 = 621,342/x
  3. Step 3: Cross multiply
    406,420x = 621,342 × 621,342
  4. Step 4: Simplify right side
    406,420x = 386,065,880,964
  5. Step 5: Solve for x
    x = 386,065,880,964/406,420
  6. Step 6: Final answer
    x = 949,918.51

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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.