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Finding the Third Proportional to 513,560 and 751,320

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Solution

The third proportional to 513,560 and 751,320 is: 1,099,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,560 : 751,320 = 751,320 : x
  2. Step 2: Convert to fraction form
    513,560/751,320 = 751,320/x
  3. Step 3: Cross multiply
    513,560x = 751,320 × 751,320
  4. Step 4: Simplify right side
    513,560x = 564,481,742,400
  5. Step 5: Solve for x
    x = 564,481,742,400/513,560
  6. Step 6: Final answer
    x = 1,099,154.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.