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Finding the Third Proportional to 386,837 and 840,928

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Solution

The third proportional to 386,837 and 840,928 is: 1,828,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,837 : 840,928 = 840,928 : x
  2. Step 2: Convert to fraction form
    386,837/840,928 = 840,928/x
  3. Step 3: Cross multiply
    386,837x = 840,928 × 840,928
  4. Step 4: Simplify right side
    386,837x = 707,159,901,184
  5. Step 5: Solve for x
    x = 707,159,901,184/386,837
  6. Step 6: Final answer
    x = 1,828,056.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.