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Finding the Third Proportional to 448,777.50 and 972,324

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Solution

The third proportional to 448,777.50 and 972,324 is: 2,106,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,777.50 : 972,324 = 972,324 : x
  2. Step 2: Convert to fraction form
    448,777.50/972,324 = 972,324/x
  3. Step 3: Cross multiply
    448,777.50x = 972,324 × 972,324
  4. Step 4: Simplify right side
    448,777.50x = 945,413,960,976
  5. Step 5: Solve for x
    x = 945,413,960,976/448,777.50
  6. Step 6: Final answer
    x = 2,106,642.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.