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Finding the Third Proportional to 401,720 and 606,696

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Solution

The third proportional to 401,720 and 606,696 is: 916,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,720 : 606,696 = 606,696 : x
  2. Step 2: Convert to fraction form
    401,720/606,696 = 606,696/x
  3. Step 3: Cross multiply
    401,720x = 606,696 × 606,696
  4. Step 4: Simplify right side
    401,720x = 368,080,036,416
  5. Step 5: Solve for x
    x = 368,080,036,416/401,720
  6. Step 6: Final answer
    x = 916,260.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.