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Finding the Third Proportional to 727,400 and 1,580,700

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Solution

The third proportional to 727,400 and 1,580,700 is: 3,434,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,400 : 1,580,700 = 1,580,700 : x
  2. Step 2: Convert to fraction form
    727,400/1,580,700 = 1,580,700/x
  3. Step 3: Cross multiply
    727,400x = 1,580,700 × 1,580,700
  4. Step 4: Simplify right side
    727,400x = 2,498,612,490,000
  5. Step 5: Solve for x
    x = 2,498,612,490,000/727,400
  6. Step 6: Final answer
    x = 3,434,991.05

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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.