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Finding the Third Proportional to 676,039 and 1,370,747

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Solution

The third proportional to 676,039 and 1,370,747 is: 2,779,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,039 : 1,370,747 = 1,370,747 : x
  2. Step 2: Convert to fraction form
    676,039/1,370,747 = 1,370,747/x
  3. Step 3: Cross multiply
    676,039x = 1,370,747 × 1,370,747
  4. Step 4: Simplify right side
    676,039x = 1,878,947,338,009
  5. Step 5: Solve for x
    x = 1,878,947,338,009/676,039
  6. Step 6: Final answer
    x = 2,779,347.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.