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Finding the Third Proportional to 308,975,076 and 643,347,912

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Solution

The third proportional to 308,975,076 and 643,347,912 is: 1,339,579,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,975,076 : 643,347,912 = 643,347,912 : x
  2. Step 2: Convert to fraction form
    308,975,076/643,347,912 = 643,347,912/x
  3. Step 3: Cross multiply
    308,975,076x = 643,347,912 × 643,347,912
  4. Step 4: Simplify right side
    308,975,076x = 413,896,535,874,759,744
  5. Step 5: Solve for x
    x = 413,896,535,874,759,744/308,975,076
  6. Step 6: Final answer
    x = 1,339,579,040.59

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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.