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Finding the Third Proportional to 359,415,987 and 513,614,812.50

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Solution

The third proportional to 359,415,987 and 513,614,812.50 is: 733,968,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,415,987 : 513,614,812.50 = 513,614,812.50 : x
  2. Step 2: Convert to fraction form
    359,415,987/513,614,812.50 = 513,614,812.50/x
  3. Step 3: Cross multiply
    359,415,987x = 513,614,812.50 × 513,614,812.50
  4. Step 4: Simplify right side
    359,415,987x = 263,800,175,619,410,144
  5. Step 5: Solve for x
    x = 263,800,175,619,410,144/359,415,987
  6. Step 6: Final answer
    x = 733,968,952.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.