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Finding the Third Proportional to 406,744 and 618,409

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Solution

The third proportional to 406,744 and 618,409 is: 940,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,744 : 618,409 = 618,409 : x
  2. Step 2: Convert to fraction form
    406,744/618,409 = 618,409/x
  3. Step 3: Cross multiply
    406,744x = 618,409 × 618,409
  4. Step 4: Simplify right side
    406,744x = 382,429,691,281
  5. Step 5: Solve for x
    x = 382,429,691,281/406,744
  6. Step 6: Final answer
    x = 940,222.08

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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.