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Finding the Third Proportional to 640,742 and 1,409,386

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Solution

The third proportional to 640,742 and 1,409,386 is: 3,100,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,742 : 1,409,386 = 1,409,386 : x
  2. Step 2: Convert to fraction form
    640,742/1,409,386 = 1,409,386/x
  3. Step 3: Cross multiply
    640,742x = 1,409,386 × 1,409,386
  4. Step 4: Simplify right side
    640,742x = 1,986,368,896,996
  5. Step 5: Solve for x
    x = 1,986,368,896,996/640,742
  6. Step 6: Final answer
    x = 3,100,107.21

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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.