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Finding the Third Proportional to 213,057 and 455,664

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Solution

The third proportional to 213,057 and 455,664 is: 974,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,057 : 455,664 = 455,664 : x
  2. Step 2: Convert to fraction form
    213,057/455,664 = 455,664/x
  3. Step 3: Cross multiply
    213,057x = 455,664 × 455,664
  4. Step 4: Simplify right side
    213,057x = 207,629,680,896
  5. Step 5: Solve for x
    x = 207,629,680,896/213,057
  6. Step 6: Final answer
    x = 974,526.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.