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Finding the Third Proportional to 143,499 and 312,833

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Solution

The third proportional to 143,499 and 312,833 is: 681,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,499 : 312,833 = 312,833 : x
  2. Step 2: Convert to fraction form
    143,499/312,833 = 312,833/x
  3. Step 3: Cross multiply
    143,499x = 312,833 × 312,833
  4. Step 4: Simplify right side
    143,499x = 97,864,485,889
  5. Step 5: Solve for x
    x = 97,864,485,889/143,499
  6. Step 6: Final answer
    x = 681,987.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.