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Finding the Third Proportional to 522,128 and 1,112,532

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Solution

The third proportional to 522,128 and 1,112,532 is: 2,370,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,128 : 1,112,532 = 1,112,532 : x
  2. Step 2: Convert to fraction form
    522,128/1,112,532 = 1,112,532/x
  3. Step 3: Cross multiply
    522,128x = 1,112,532 × 1,112,532
  4. Step 4: Simplify right side
    522,128x = 1,237,727,451,024
  5. Step 5: Solve for x
    x = 1,237,727,451,024/522,128
  6. Step 6: Final answer
    x = 2,370,544.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.