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Finding the Third Proportional to 431,990 and 608,072

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Solution

The third proportional to 431,990 and 608,072 is: 855,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,990 : 608,072 = 608,072 : x
  2. Step 2: Convert to fraction form
    431,990/608,072 = 608,072/x
  3. Step 3: Cross multiply
    431,990x = 608,072 × 608,072
  4. Step 4: Simplify right side
    431,990x = 369,751,557,184
  5. Step 5: Solve for x
    x = 369,751,557,184/431,990
  6. Step 6: Final answer
    x = 855,926.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.