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Finding the Third Proportional to 455,060 and 612,601

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Solution

The third proportional to 455,060 and 612,601 is: 824,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,060 : 612,601 = 612,601 : x
  2. Step 2: Convert to fraction form
    455,060/612,601 = 612,601/x
  3. Step 3: Cross multiply
    455,060x = 612,601 × 612,601
  4. Step 4: Simplify right side
    455,060x = 375,279,985,201
  5. Step 5: Solve for x
    x = 375,279,985,201/455,060
  6. Step 6: Final answer
    x = 824,682.43

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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.