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Finding the Third Proportional to 297,502,238 and 642,807,920

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Solution

The third proportional to 297,502,238 and 642,807,920 is: 1,388,903,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,502,238 : 642,807,920 = 642,807,920 : x
  2. Step 2: Convert to fraction form
    297,502,238/642,807,920 = 642,807,920/x
  3. Step 3: Cross multiply
    297,502,238x = 642,807,920 × 642,807,920
  4. Step 4: Simplify right side
    297,502,238x = 413,202,022,014,726,400
  5. Step 5: Solve for x
    x = 413,202,022,014,726,400/297,502,238
  6. Step 6: Final answer
    x = 1,388,903,911.42

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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.