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Finding the Third Proportional to 404,605.13 and 628,641

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Solution

The third proportional to 404,605.13 and 628,641 is: 976,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,605.13 : 628,641 = 628,641 : x
  2. Step 2: Convert to fraction form
    404,605.13/628,641 = 628,641/x
  3. Step 3: Cross multiply
    404,605.13x = 628,641 × 628,641
  4. Step 4: Simplify right side
    404,605.13x = 395,189,506,881
  5. Step 5: Solve for x
    x = 395,189,506,881/404,605.13
  6. Step 6: Final answer
    x = 976,728.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.