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Finding the Third Proportional to 939,790 and 1,513,205

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Solution

The third proportional to 939,790 and 1,513,205 is: 2,436,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,790 : 1,513,205 = 1,513,205 : x
  2. Step 2: Convert to fraction form
    939,790/1,513,205 = 1,513,205/x
  3. Step 3: Cross multiply
    939,790x = 1,513,205 × 1,513,205
  4. Step 4: Simplify right side
    939,790x = 2,289,789,372,025
  5. Step 5: Solve for x
    x = 2,289,789,372,025/939,790
  6. Step 6: Final answer
    x = 2,436,490.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.