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Finding the Third Proportional to 386,176 and 807,642

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Solution

The third proportional to 386,176 and 807,642 is: 1,689,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,176 : 807,642 = 807,642 : x
  2. Step 2: Convert to fraction form
    386,176/807,642 = 807,642/x
  3. Step 3: Cross multiply
    386,176x = 807,642 × 807,642
  4. Step 4: Simplify right side
    386,176x = 652,285,600,164
  5. Step 5: Solve for x
    x = 652,285,600,164/386,176
  6. Step 6: Final answer
    x = 1,689,088.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.