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Finding the Third Proportional to 401,421,015 and 565,297,744.50

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Solution

The third proportional to 401,421,015 and 565,297,744.50 is: 796,075,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,421,015 : 565,297,744.50 = 565,297,744.50 : x
  2. Step 2: Convert to fraction form
    401,421,015/565,297,744.50 = 565,297,744.50/x
  3. Step 3: Cross multiply
    401,421,015x = 565,297,744.50 × 565,297,744.50
  4. Step 4: Simplify right side
    401,421,015x = 319,561,539,936,787,264
  5. Step 5: Solve for x
    x = 319,561,539,936,787,264/401,421,015
  6. Step 6: Final answer
    x = 796,075,760.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.