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Finding the Third Proportional to 1,220,742 and 2,651,643

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Solution

The third proportional to 1,220,742 and 2,651,643 is: 5,759,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,742 : 2,651,643 = 2,651,643 : x
  2. Step 2: Convert to fraction form
    1,220,742/2,651,643 = 2,651,643/x
  3. Step 3: Cross multiply
    1,220,742x = 2,651,643 × 2,651,643
  4. Step 4: Simplify right side
    1,220,742x = 7,031,210,599,449
  5. Step 5: Solve for x
    x = 7,031,210,599,449/1,220,742
  6. Step 6: Final answer
    x = 5,759,784.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.