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Finding the Third Proportional to 476,853.50 and 668,407.50

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Solution

The third proportional to 476,853.50 and 668,407.50 is: 936,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,853.50 : 668,407.50 = 668,407.50 : x
  2. Step 2: Convert to fraction form
    476,853.50/668,407.50 = 668,407.50/x
  3. Step 3: Cross multiply
    476,853.50x = 668,407.50 × 668,407.50
  4. Step 4: Simplify right side
    476,853.50x = 446,768,586,056.25
  5. Step 5: Solve for x
    x = 446,768,586,056.25/476,853.50
  6. Step 6: Final answer
    x = 936,909.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.