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Finding the Third Proportional to 286,642 and 400,910

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Solution

The third proportional to 286,642 and 400,910 is: 560,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,642 : 400,910 = 400,910 : x
  2. Step 2: Convert to fraction form
    286,642/400,910 = 400,910/x
  3. Step 3: Cross multiply
    286,642x = 400,910 × 400,910
  4. Step 4: Simplify right side
    286,642x = 160,728,828,100
  5. Step 5: Solve for x
    x = 160,728,828,100/286,642
  6. Step 6: Final answer
    x = 560,730.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.