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Finding the Third Proportional to 980,539 and 2,118,633

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Solution

The third proportional to 980,539 and 2,118,633 is: 4,577,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,539 : 2,118,633 = 2,118,633 : x
  2. Step 2: Convert to fraction form
    980,539/2,118,633 = 2,118,633/x
  3. Step 3: Cross multiply
    980,539x = 2,118,633 × 2,118,633
  4. Step 4: Simplify right side
    980,539x = 4,488,605,788,689
  5. Step 5: Solve for x
    x = 4,488,605,788,689/980,539
  6. Step 6: Final answer
    x = 4,577,692.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.