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Finding the Third Proportional to 391,024 and 856,780

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Solution

The third proportional to 391,024 and 856,780 is: 1,877,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,024 : 856,780 = 856,780 : x
  2. Step 2: Convert to fraction form
    391,024/856,780 = 856,780/x
  3. Step 3: Cross multiply
    391,024x = 856,780 × 856,780
  4. Step 4: Simplify right side
    391,024x = 734,071,968,400
  5. Step 5: Solve for x
    x = 734,071,968,400/391,024
  6. Step 6: Final answer
    x = 1,877,306.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.