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Finding the Third Proportional to 406,515 and 612,769.50

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Solution

The third proportional to 406,515 and 612,769.50 is: 923,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,515 : 612,769.50 = 612,769.50 : x
  2. Step 2: Convert to fraction form
    406,515/612,769.50 = 612,769.50/x
  3. Step 3: Cross multiply
    406,515x = 612,769.50 × 612,769.50
  4. Step 4: Simplify right side
    406,515x = 375,486,460,130.25
  5. Step 5: Solve for x
    x = 375,486,460,130.25/406,515
  6. Step 6: Final answer
    x = 923,671.85

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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.