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Finding the Third Proportional to 401,698 and 571,077

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Solution

The third proportional to 401,698 and 571,077 is: 811,875.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,698 : 571,077 = 571,077 : x
  2. Step 2: Convert to fraction form
    401,698/571,077 = 571,077/x
  3. Step 3: Cross multiply
    401,698x = 571,077 × 571,077
  4. Step 4: Simplify right side
    401,698x = 326,128,939,929
  5. Step 5: Solve for x
    x = 326,128,939,929/401,698
  6. Step 6: Final answer
    x = 811,875.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.