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Finding the Third Proportional to 637,206.75 and 890,913.94

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Solution

The third proportional to 637,206.75 and 890,913.94 is: 1,245,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,206.75 : 890,913.94 = 890,913.94 : x
  2. Step 2: Convert to fraction form
    637,206.75/890,913.94 = 890,913.94/x
  3. Step 3: Cross multiply
    637,206.75x = 890,913.94 × 890,913.94
  4. Step 4: Simplify right side
    637,206.75x = 793,727,644,031.75
  5. Step 5: Solve for x
    x = 793,727,644,031.75/637,206.75
  6. Step 6: Final answer
    x = 1,245,635.96

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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.