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Finding the Third Proportional to 312,516 and 647,190

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Solution

The third proportional to 312,516 and 647,190 is: 1,340,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,516 : 647,190 = 647,190 : x
  2. Step 2: Convert to fraction form
    312,516/647,190 = 647,190/x
  3. Step 3: Cross multiply
    312,516x = 647,190 × 647,190
  4. Step 4: Simplify right side
    312,516x = 418,854,896,100
  5. Step 5: Solve for x
    x = 418,854,896,100/312,516
  6. Step 6: Final answer
    x = 1,340,267.05

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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.