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Finding the Third Proportional to 213,754 and 459,666

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Solution

The third proportional to 213,754 and 459,666 is: 988,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,754 : 459,666 = 459,666 : x
  2. Step 2: Convert to fraction form
    213,754/459,666 = 459,666/x
  3. Step 3: Cross multiply
    213,754x = 459,666 × 459,666
  4. Step 4: Simplify right side
    213,754x = 211,292,831,556
  5. Step 5: Solve for x
    x = 211,292,831,556/213,754
  6. Step 6: Final answer
    x = 988,485.98

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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.