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Finding the Third Proportional to 218,688 and 473,688

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Solution

The third proportional to 218,688 and 473,688 is: 1,026,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,688 : 473,688 = 473,688 : x
  2. Step 2: Convert to fraction form
    218,688/473,688 = 473,688/x
  3. Step 3: Cross multiply
    218,688x = 473,688 × 473,688
  4. Step 4: Simplify right side
    218,688x = 224,380,321,344
  5. Step 5: Solve for x
    x = 224,380,321,344/218,688
  6. Step 6: Final answer
    x = 1,026,029.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.