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Finding the Third Proportional to 401,715 and 606,690

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Solution

The third proportional to 401,715 and 606,690 is: 916,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715 : 606,690 = 606,690 : x
  2. Step 2: Convert to fraction form
    401,715/606,690 = 606,690/x
  3. Step 3: Cross multiply
    401,715x = 606,690 × 606,690
  4. Step 4: Simplify right side
    401,715x = 368,072,756,100
  5. Step 5: Solve for x
    x = 368,072,756,100/401,715
  6. Step 6: Final answer
    x = 916,253.45

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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.