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Finding the Third Proportional to 143,730 and 312,651

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Solution

The third proportional to 143,730 and 312,651 is: 680,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,730 : 312,651 = 312,651 : x
  2. Step 2: Convert to fraction form
    143,730/312,651 = 312,651/x
  3. Step 3: Cross multiply
    143,730x = 312,651 × 312,651
  4. Step 4: Simplify right side
    143,730x = 97,750,647,801
  5. Step 5: Solve for x
    x = 97,750,647,801/143,730
  6. Step 6: Final answer
    x = 680,099.13

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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.