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Finding the Third Proportional to 406,512 and 612,765

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Solution

The third proportional to 406,512 and 612,765 is: 923,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,512 : 612,765 = 612,765 : x
  2. Step 2: Convert to fraction form
    406,512/612,765 = 612,765/x
  3. Step 3: Cross multiply
    406,512x = 612,765 × 612,765
  4. Step 4: Simplify right side
    406,512x = 375,480,945,225
  5. Step 5: Solve for x
    x = 375,480,945,225/406,512
  6. Step 6: Final answer
    x = 923,665.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.