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Finding the Third Proportional to 316,636 and 489,655

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Solution

The third proportional to 316,636 and 489,655 is: 757,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,636 : 489,655 = 489,655 : x
  2. Step 2: Convert to fraction form
    316,636/489,655 = 489,655/x
  3. Step 3: Cross multiply
    316,636x = 489,655 × 489,655
  4. Step 4: Simplify right side
    316,636x = 239,762,019,025
  5. Step 5: Solve for x
    x = 239,762,019,025/316,636
  6. Step 6: Final answer
    x = 757,216.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.