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Finding the Third Proportional to 750,238 and 1,638,243

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Solution

The third proportional to 750,238 and 1,638,243 is: 3,577,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,238 : 1,638,243 = 1,638,243 : x
  2. Step 2: Convert to fraction form
    750,238/1,638,243 = 1,638,243/x
  3. Step 3: Cross multiply
    750,238x = 1,638,243 × 1,638,243
  4. Step 4: Simplify right side
    750,238x = 2,683,840,127,049
  5. Step 5: Solve for x
    x = 2,683,840,127,049/750,238
  6. Step 6: Final answer
    x = 3,577,318.30

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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.