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Finding the Third Proportional to 230,010 and 316,729

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Solution

The third proportional to 230,010 and 316,729 is: 436,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,010 : 316,729 = 316,729 : x
  2. Step 2: Convert to fraction form
    230,010/316,729 = 316,729/x
  3. Step 3: Cross multiply
    230,010x = 316,729 × 316,729
  4. Step 4: Simplify right side
    230,010x = 100,317,259,441
  5. Step 5: Solve for x
    x = 100,317,259,441/230,010
  6. Step 6: Final answer
    x = 436,143.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.