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Finding the Third Proportional to 456,685 and 980,703

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Solution

The third proportional to 456,685 and 980,703 is: 2,105,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,685 : 980,703 = 980,703 : x
  2. Step 2: Convert to fraction form
    456,685/980,703 = 980,703/x
  3. Step 3: Cross multiply
    456,685x = 980,703 × 980,703
  4. Step 4: Simplify right side
    456,685x = 961,778,374,209
  5. Step 5: Solve for x
    x = 961,778,374,209/456,685
  6. Step 6: Final answer
    x = 2,105,999.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.