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Finding the Third Proportional to 289,128,948 and 440,469,294

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Solution

The third proportional to 289,128,948 and 440,469,294 is: 671,026,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,128,948 : 440,469,294 = 440,469,294 : x
  2. Step 2: Convert to fraction form
    289,128,948/440,469,294 = 440,469,294/x
  3. Step 3: Cross multiply
    289,128,948x = 440,469,294 × 440,469,294
  4. Step 4: Simplify right side
    289,128,948x = 194,013,198,956,858,432
  5. Step 5: Solve for x
    x = 194,013,198,956,858,432/289,128,948
  6. Step 6: Final answer
    x = 671,026,544.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.