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Finding the Third Proportional to 408,646 and 613,528

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Solution

The third proportional to 408,646 and 613,528 is: 921,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646 : 613,528 = 613,528 : x
  2. Step 2: Convert to fraction form
    408,646/613,528 = 613,528/x
  3. Step 3: Cross multiply
    408,646x = 613,528 × 613,528
  4. Step 4: Simplify right side
    408,646x = 376,416,606,784
  5. Step 5: Solve for x
    x = 376,416,606,784/408,646
  6. Step 6: Final answer
    x = 921,131.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.