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Finding the Third Proportional to 455,322.75 and 668,221.50

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Solution

The third proportional to 455,322.75 and 668,221.50 is: 980,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,322.75 : 668,221.50 = 668,221.50 : x
  2. Step 2: Convert to fraction form
    455,322.75/668,221.50 = 668,221.50/x
  3. Step 3: Cross multiply
    455,322.75x = 668,221.50 × 668,221.50
  4. Step 4: Simplify right side
    455,322.75x = 446,519,973,062.25
  5. Step 5: Solve for x
    x = 446,519,973,062.25/455,322.75
  6. Step 6: Final answer
    x = 980,666.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.