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Finding the Third Proportional to 476,854.50 and 668,355

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Solution

The third proportional to 476,854.50 and 668,355 is: 936,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,854.50 : 668,355 = 668,355 : x
  2. Step 2: Convert to fraction form
    476,854.50/668,355 = 668,355/x
  3. Step 3: Cross multiply
    476,854.50x = 668,355 × 668,355
  4. Step 4: Simplify right side
    476,854.50x = 446,698,406,025
  5. Step 5: Solve for x
    x = 446,698,406,025/476,854.50
  6. Step 6: Final answer
    x = 936,760.39

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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.