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Finding the Third Proportional to 315,085 and 484,309

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Solution

The third proportional to 315,085 and 484,309 is: 744,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,085 : 484,309 = 484,309 : x
  2. Step 2: Convert to fraction form
    315,085/484,309 = 484,309/x
  3. Step 3: Cross multiply
    315,085x = 484,309 × 484,309
  4. Step 4: Simplify right side
    315,085x = 234,555,207,481
  5. Step 5: Solve for x
    x = 234,555,207,481/315,085
  6. Step 6: Final answer
    x = 744,418.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.