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Finding the Third Proportional to 438,975,396 and 641,982,685.50

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Solution

The third proportional to 438,975,396 and 641,982,685.50 is: 938,872,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,975,396 : 641,982,685.50 = 641,982,685.50 : x
  2. Step 2: Convert to fraction form
    438,975,396/641,982,685.50 = 641,982,685.50/x
  3. Step 3: Cross multiply
    438,975,396x = 641,982,685.50 × 641,982,685.50
  4. Step 4: Simplify right side
    438,975,396x = 412,141,768,481,791,936
  5. Step 5: Solve for x
    x = 412,141,768,481,791,936/438,975,396
  6. Step 6: Final answer
    x = 938,872,137.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.