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Finding the Third Proportional to 386,415 and 846,642

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Solution

The third proportional to 386,415 and 846,642 is: 1,855,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,415 : 846,642 = 846,642 : x
  2. Step 2: Convert to fraction form
    386,415/846,642 = 846,642/x
  3. Step 3: Cross multiply
    386,415x = 846,642 × 846,642
  4. Step 4: Simplify right side
    386,415x = 716,802,676,164
  5. Step 5: Solve for x
    x = 716,802,676,164/386,415
  6. Step 6: Final answer
    x = 1,855,007.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.