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Finding the Third Proportional to 448,666.50 and 960,388.50

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Solution

The third proportional to 448,666.50 and 960,388.50 is: 2,055,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,666.50 : 960,388.50 = 960,388.50 : x
  2. Step 2: Convert to fraction form
    448,666.50/960,388.50 = 960,388.50/x
  3. Step 3: Cross multiply
    448,666.50x = 960,388.50 × 960,388.50
  4. Step 4: Simplify right side
    448,666.50x = 922,346,070,932.25
  5. Step 5: Solve for x
    x = 922,346,070,932.25/448,666.50
  6. Step 6: Final answer
    x = 2,055,749.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.