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Finding the Third Proportional to 349,988 and 764,128

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Solution

The third proportional to 349,988 and 764,128 is: 1,668,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,988 : 764,128 = 764,128 : x
  2. Step 2: Convert to fraction form
    349,988/764,128 = 764,128/x
  3. Step 3: Cross multiply
    349,988x = 764,128 × 764,128
  4. Step 4: Simplify right side
    349,988x = 583,891,600,384
  5. Step 5: Solve for x
    x = 583,891,600,384/349,988
  6. Step 6: Final answer
    x = 1,668,318.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.