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Finding the Third Proportional to 680,346 and 1,489,590

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Solution

The third proportional to 680,346 and 1,489,590 is: 3,261,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,346 : 1,489,590 = 1,489,590 : x
  2. Step 2: Convert to fraction form
    680,346/1,489,590 = 1,489,590/x
  3. Step 3: Cross multiply
    680,346x = 1,489,590 × 1,489,590
  4. Step 4: Simplify right side
    680,346x = 2,218,878,368,100
  5. Step 5: Solve for x
    x = 2,218,878,368,100/680,346
  6. Step 6: Final answer
    x = 3,261,396.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.