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Finding the Third Proportional to 356,365.50 and 718,564.50

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Solution

The third proportional to 356,365.50 and 718,564.50 is: 1,448,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,365.50 : 718,564.50 = 718,564.50 : x
  2. Step 2: Convert to fraction form
    356,365.50/718,564.50 = 718,564.50/x
  3. Step 3: Cross multiply
    356,365.50x = 718,564.50 × 718,564.50
  4. Step 4: Simplify right side
    356,365.50x = 516,334,940,660.25
  5. Step 5: Solve for x
    x = 516,334,940,660.25/356,365.50
  6. Step 6: Final answer
    x = 1,448,891.49

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.