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Finding the Third Proportional to 406,723 and 618,377

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Solution

The third proportional to 406,723 and 618,377 is: 940,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,723 : 618,377 = 618,377 : x
  2. Step 2: Convert to fraction form
    406,723/618,377 = 618,377/x
  3. Step 3: Cross multiply
    406,723x = 618,377 × 618,377
  4. Step 4: Simplify right side
    406,723x = 382,390,114,129
  5. Step 5: Solve for x
    x = 382,390,114,129/406,723
  6. Step 6: Final answer
    x = 940,173.32

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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.