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Finding the Third Proportional to 401,465 and 587,121

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Solution

The third proportional to 401,465 and 587,121 is: 858,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,465 : 587,121 = 587,121 : x
  2. Step 2: Convert to fraction form
    401,465/587,121 = 587,121/x
  3. Step 3: Cross multiply
    401,465x = 587,121 × 587,121
  4. Step 4: Simplify right side
    401,465x = 344,711,068,641
  5. Step 5: Solve for x
    x = 344,711,068,641/401,465
  6. Step 6: Final answer
    x = 858,632.93

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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.