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Finding the Third Proportional to 783,769 and 1,211,321

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Solution

The third proportional to 783,769 and 1,211,321 is: 1,872,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,769 : 1,211,321 = 1,211,321 : x
  2. Step 2: Convert to fraction form
    783,769/1,211,321 = 1,211,321/x
  3. Step 3: Cross multiply
    783,769x = 1,211,321 × 1,211,321
  4. Step 4: Simplify right side
    783,769x = 1,467,298,565,041
  5. Step 5: Solve for x
    x = 1,467,298,565,041/783,769
  6. Step 6: Final answer
    x = 1,872,105.89

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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.