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Finding the Third Proportional to 218,727 and 312,780

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Solution

The third proportional to 218,727 and 312,780 is: 447,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,727 : 312,780 = 312,780 : x
  2. Step 2: Convert to fraction form
    218,727/312,780 = 312,780/x
  3. Step 3: Cross multiply
    218,727x = 312,780 × 312,780
  4. Step 4: Simplify right side
    218,727x = 97,831,328,400
  5. Step 5: Solve for x
    x = 97,831,328,400/218,727
  6. Step 6: Final answer
    x = 447,275.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.