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Finding the Third Proportional to 143,458 and 313,160

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Solution

The third proportional to 143,458 and 313,160 is: 683,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,458 : 313,160 = 313,160 : x
  2. Step 2: Convert to fraction form
    143,458/313,160 = 313,160/x
  3. Step 3: Cross multiply
    143,458x = 313,160 × 313,160
  4. Step 4: Simplify right side
    143,458x = 98,069,185,600
  5. Step 5: Solve for x
    x = 98,069,185,600/143,458
  6. Step 6: Final answer
    x = 683,609.04

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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.