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Finding the Third Proportional to 640,731 and 1,409,362

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Solution

The third proportional to 640,731 and 1,409,362 is: 3,100,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,731 : 1,409,362 = 1,409,362 : x
  2. Step 2: Convert to fraction form
    640,731/1,409,362 = 1,409,362/x
  3. Step 3: Cross multiply
    640,731x = 1,409,362 × 1,409,362
  4. Step 4: Simplify right side
    640,731x = 1,986,301,247,044
  5. Step 5: Solve for x
    x = 1,986,301,247,044/640,731
  6. Step 6: Final answer
    x = 3,100,054.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.