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Finding the Third Proportional to 312,788 and 669,865

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Solution

The third proportional to 312,788 and 669,865 is: 1,434,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,788 : 669,865 = 669,865 : x
  2. Step 2: Convert to fraction form
    312,788/669,865 = 669,865/x
  3. Step 3: Cross multiply
    312,788x = 669,865 × 669,865
  4. Step 4: Simplify right side
    312,788x = 448,719,118,225
  5. Step 5: Solve for x
    x = 448,719,118,225/312,788
  6. Step 6: Final answer
    x = 1,434,579.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.