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Finding the Third Proportional to 307,982,097 and 641,440,557

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Solution

The third proportional to 307,982,097 and 641,440,557 is: 1,335,941,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,982,097 : 641,440,557 = 641,440,557 : x
  2. Step 2: Convert to fraction form
    307,982,097/641,440,557 = 641,440,557/x
  3. Step 3: Cross multiply
    307,982,097x = 641,440,557 × 641,440,557
  4. Step 4: Simplify right side
    307,982,097x = 411,445,988,164,470,272
  5. Step 5: Solve for x
    x = 411,445,988,164,470,272/307,982,097
  6. Step 6: Final answer
    x = 1,335,941,251.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.