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Finding the Third Proportional to 727,780 and 1,579,880

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Solution

The third proportional to 727,780 and 1,579,880 is: 3,429,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,780 : 1,579,880 = 1,579,880 : x
  2. Step 2: Convert to fraction form
    727,780/1,579,880 = 1,579,880/x
  3. Step 3: Cross multiply
    727,780x = 1,579,880 × 1,579,880
  4. Step 4: Simplify right side
    727,780x = 2,496,020,814,400
  5. Step 5: Solve for x
    x = 2,496,020,814,400/727,780
  6. Step 6: Final answer
    x = 3,429,636.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.