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Finding the Third Proportional to 578,780 and 905,216

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Solution

The third proportional to 578,780 and 905,216 is: 1,415,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,780 : 905,216 = 905,216 : x
  2. Step 2: Convert to fraction form
    578,780/905,216 = 905,216/x
  3. Step 3: Cross multiply
    578,780x = 905,216 × 905,216
  4. Step 4: Simplify right side
    578,780x = 819,416,006,656
  5. Step 5: Solve for x
    x = 819,416,006,656/578,780
  6. Step 6: Final answer
    x = 1,415,764.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.