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Finding the Third Proportional to 297,502,236 and 642,807,916

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Solution

The third proportional to 297,502,236 and 642,807,916 is: 1,388,903,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,502,236 : 642,807,916 = 642,807,916 : x
  2. Step 2: Convert to fraction form
    297,502,236/642,807,916 = 642,807,916/x
  3. Step 3: Cross multiply
    297,502,236x = 642,807,916 × 642,807,916
  4. Step 4: Simplify right side
    297,502,236x = 413,202,016,872,263,040
  5. Step 5: Solve for x
    x = 413,202,016,872,263,040/297,502,236
  6. Step 6: Final answer
    x = 1,388,903,903.47

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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.