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Finding the Third Proportional to 401,172 and 865,038

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Solution

The third proportional to 401,172 and 865,038 is: 1,865,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,172 : 865,038 = 865,038 : x
  2. Step 2: Convert to fraction form
    401,172/865,038 = 865,038/x
  3. Step 3: Cross multiply
    401,172x = 865,038 × 865,038
  4. Step 4: Simplify right side
    401,172x = 748,290,741,444
  5. Step 5: Solve for x
    x = 748,290,741,444/401,172
  6. Step 6: Final answer
    x = 1,865,261.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.