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Finding the Third Proportional to 253,560,396 and 380,946,258

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Solution

The third proportional to 253,560,396 and 380,946,258 is: 572,329,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,560,396 : 380,946,258 = 380,946,258 : x
  2. Step 2: Convert to fraction form
    253,560,396/380,946,258 = 380,946,258/x
  3. Step 3: Cross multiply
    253,560,396x = 380,946,258 × 380,946,258
  4. Step 4: Simplify right side
    253,560,396x = 145,120,051,484,202,560
  5. Step 5: Solve for x
    x = 145,120,051,484,202,560/253,560,396
  6. Step 6: Final answer
    x = 572,329,329.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.