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Finding the Third Proportional to 143,774 and 310,012

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Solution

The third proportional to 143,774 and 310,012 is: 668,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,774 : 310,012 = 310,012 : x
  2. Step 2: Convert to fraction form
    143,774/310,012 = 310,012/x
  3. Step 3: Cross multiply
    143,774x = 310,012 × 310,012
  4. Step 4: Simplify right side
    143,774x = 96,107,440,144
  5. Step 5: Solve for x
    x = 96,107,440,144/143,774
  6. Step 6: Final answer
    x = 668,461.89

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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.