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Finding the Third Proportional to 312,500 and 647,154

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Solution

The third proportional to 312,500 and 647,154 is: 1,340,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,500 : 647,154 = 647,154 : x
  2. Step 2: Convert to fraction form
    312,500/647,154 = 647,154/x
  3. Step 3: Cross multiply
    312,500x = 647,154 × 647,154
  4. Step 4: Simplify right side
    312,500x = 418,808,299,716
  5. Step 5: Solve for x
    x = 418,808,299,716/312,500
  6. Step 6: Final answer
    x = 1,340,186.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.