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Finding the Third Proportional to 487,128 and 764,356

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Solution

The third proportional to 487,128 and 764,356 is: 1,199,356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,128 : 764,356 = 764,356 : x
  2. Step 2: Convert to fraction form
    487,128/764,356 = 764,356/x
  3. Step 3: Cross multiply
    487,128x = 764,356 × 764,356
  4. Step 4: Simplify right side
    487,128x = 584,240,094,736
  5. Step 5: Solve for x
    x = 584,240,094,736/487,128
  6. Step 6: Final answer
    x = 1,199,356.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.