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Finding the Third Proportional to 138,072,378 and 214,383,689

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Solution

The third proportional to 138,072,378 and 214,383,689 is: 332,871,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,072,378 : 214,383,689 = 214,383,689 : x
  2. Step 2: Convert to fraction form
    138,072,378/214,383,689 = 214,383,689/x
  3. Step 3: Cross multiply
    138,072,378x = 214,383,689 × 214,383,689
  4. Step 4: Simplify right side
    138,072,378x = 45,960,366,109,248,720
  5. Step 5: Solve for x
    x = 45,960,366,109,248,720/138,072,378
  6. Step 6: Final answer
    x = 332,871,547.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.