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Finding the Third Proportional to 137,748,270 and 299,709,258

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Solution

The third proportional to 137,748,270 and 299,709,258 is: 652,099,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,748,270 : 299,709,258 = 299,709,258 : x
  2. Step 2: Convert to fraction form
    137,748,270/299,709,258 = 299,709,258/x
  3. Step 3: Cross multiply
    137,748,270x = 299,709,258 × 299,709,258
  4. Step 4: Simplify right side
    137,748,270x = 89,825,639,330,910,560
  5. Step 5: Solve for x
    x = 89,825,639,330,910,560/137,748,270
  6. Step 6: Final answer
    x = 652,099,945.29

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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.