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Finding the Third Proportional to 401,428.69 and 587,071.13

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Solution

The third proportional to 401,428.69 and 587,071.13 is: 858,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,428.69 : 587,071.13 = 587,071.13 : x
  2. Step 2: Convert to fraction form
    401,428.69/587,071.13 = 587,071.13/x
  3. Step 3: Cross multiply
    401,428.69x = 587,071.13 × 587,071.13
  4. Step 4: Simplify right side
    401,428.69x = 344,652,505,808.77
  5. Step 5: Solve for x
    x = 344,652,505,808.77/401,428.69
  6. Step 6: Final answer
    x = 858,564.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.