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Finding the Third Proportional to 448,474.50 and 695,128.50

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Solution

The third proportional to 448,474.50 and 695,128.50 is: 1,077,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,474.50 : 695,128.50 = 695,128.50 : x
  2. Step 2: Convert to fraction form
    448,474.50/695,128.50 = 695,128.50/x
  3. Step 3: Cross multiply
    448,474.50x = 695,128.50 × 695,128.50
  4. Step 4: Simplify right side
    448,474.50x = 483,203,631,512.25
  5. Step 5: Solve for x
    x = 483,203,631,512.25/448,474.50
  6. Step 6: Final answer
    x = 1,077,438.36

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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.