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Finding the Third Proportional to 137,871,302 and 298,720,336

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Solution

The third proportional to 137,871,302 and 298,720,336 is: 647,225,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,871,302 : 298,720,336 = 298,720,336 : x
  2. Step 2: Convert to fraction form
    137,871,302/298,720,336 = 298,720,336/x
  3. Step 3: Cross multiply
    137,871,302x = 298,720,336 × 298,720,336
  4. Step 4: Simplify right side
    137,871,302x = 89,233,839,139,952,896
  5. Step 5: Solve for x
    x = 89,233,839,139,952,896/137,871,302
  6. Step 6: Final answer
    x = 647,225,621.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.