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Finding the Third Proportional to 406,726 and 618,380

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Solution

The third proportional to 406,726 and 618,380 is: 940,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,726 : 618,380 = 618,380 : x
  2. Step 2: Convert to fraction form
    406,726/618,380 = 618,380/x
  3. Step 3: Cross multiply
    406,726x = 618,380 × 618,380
  4. Step 4: Simplify right side
    406,726x = 382,393,824,400
  5. Step 5: Solve for x
    x = 382,393,824,400/406,726
  6. Step 6: Final answer
    x = 940,175.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.