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Finding the Third Proportional to 263,400 and 418,428

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Solution

The third proportional to 263,400 and 418,428 is: 664,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,400 : 418,428 = 418,428 : x
  2. Step 2: Convert to fraction form
    263,400/418,428 = 418,428/x
  3. Step 3: Cross multiply
    263,400x = 418,428 × 418,428
  4. Step 4: Simplify right side
    263,400x = 175,081,991,184
  5. Step 5: Solve for x
    x = 175,081,991,184/263,400
  6. Step 6: Final answer
    x = 664,700.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.