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Finding the Third Proportional to 137,395,238 and 296,313,228

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Solution

The third proportional to 137,395,238 and 296,313,228 is: 639,043,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,395,238 : 296,313,228 = 296,313,228 : x
  2. Step 2: Convert to fraction form
    137,395,238/296,313,228 = 296,313,228/x
  3. Step 3: Cross multiply
    137,395,238x = 296,313,228 × 296,313,228
  4. Step 4: Simplify right side
    137,395,238x = 87,801,529,087,779,984
  5. Step 5: Solve for x
    x = 87,801,529,087,779,984/137,395,238
  6. Step 6: Final answer
    x = 639,043,465.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.