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Finding the Third Proportional to 349,648 and 741,128

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Solution

The third proportional to 349,648 and 741,128 is: 1,570,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,648 : 741,128 = 741,128 : x
  2. Step 2: Convert to fraction form
    349,648/741,128 = 741,128/x
  3. Step 3: Cross multiply
    349,648x = 741,128 × 741,128
  4. Step 4: Simplify right side
    349,648x = 549,270,712,384
  5. Step 5: Solve for x
    x = 549,270,712,384/349,648
  6. Step 6: Final answer
    x = 1,570,924.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.