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Finding the Third Proportional to 455,100 and 612,654

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Solution

The third proportional to 455,100 and 612,654 is: 824,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,100 : 612,654 = 612,654 : x
  2. Step 2: Convert to fraction form
    455,100/612,654 = 612,654/x
  3. Step 3: Cross multiply
    455,100x = 612,654 × 612,654
  4. Step 4: Simplify right side
    455,100x = 375,344,923,716
  5. Step 5: Solve for x
    x = 375,344,923,716/455,100
  6. Step 6: Final answer
    x = 824,752.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.