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Finding the Third Proportional to 406,365.50 and 643,993.50

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Solution

The third proportional to 406,365.50 and 643,993.50 is: 1,020,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,365.50 : 643,993.50 = 643,993.50 : x
  2. Step 2: Convert to fraction form
    406,365.50/643,993.50 = 643,993.50/x
  3. Step 3: Cross multiply
    406,365.50x = 643,993.50 × 643,993.50
  4. Step 4: Simplify right side
    406,365.50x = 414,727,628,042.25
  5. Step 5: Solve for x
    x = 414,727,628,042.25/406,365.50
  6. Step 6: Final answer
    x = 1,020,577.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.