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Finding the Third Proportional to 423,654 and 654,273

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Solution

The third proportional to 423,654 and 654,273 is: 1,010,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,654 : 654,273 = 654,273 : x
  2. Step 2: Convert to fraction form
    423,654/654,273 = 654,273/x
  3. Step 3: Cross multiply
    423,654x = 654,273 × 654,273
  4. Step 4: Simplify right side
    423,654x = 428,073,158,529
  5. Step 5: Solve for x
    x = 428,073,158,529/423,654
  6. Step 6: Final answer
    x = 1,010,431.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.