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Finding the Third Proportional to 689,430 and 1,489,560

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Solution

The third proportional to 689,430 and 1,489,560 is: 3,218,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,430 : 1,489,560 = 1,489,560 : x
  2. Step 2: Convert to fraction form
    689,430/1,489,560 = 1,489,560/x
  3. Step 3: Cross multiply
    689,430x = 1,489,560 × 1,489,560
  4. Step 4: Simplify right side
    689,430x = 2,218,788,993,600
  5. Step 5: Solve for x
    x = 2,218,788,993,600/689,430
  6. Step 6: Final answer
    x = 3,218,294.81

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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.