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Finding the Third Proportional to 216,540 and 456,777

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Solution

The third proportional to 216,540 and 456,777 is: 963,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,540 : 456,777 = 456,777 : x
  2. Step 2: Convert to fraction form
    216,540/456,777 = 456,777/x
  3. Step 3: Cross multiply
    216,540x = 456,777 × 456,777
  4. Step 4: Simplify right side
    216,540x = 208,645,227,729
  5. Step 5: Solve for x
    x = 208,645,227,729/216,540
  6. Step 6: Final answer
    x = 963,541.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.