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Finding the Third Proportional to 400,642,150.50 and 869,809,752

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Solution

The third proportional to 400,642,150.50 and 869,809,752 is: 1,888,390,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,642,150.50 : 869,809,752 = 869,809,752 : x
  2. Step 2: Convert to fraction form
    400,642,150.50/869,809,752 = 869,809,752/x
  3. Step 3: Cross multiply
    400,642,150.50x = 869,809,752 × 869,809,752
  4. Step 4: Simplify right side
    400,642,150.50x = 756,569,004,674,301,440
  5. Step 5: Solve for x
    x = 756,569,004,674,301,440/400,642,150.50
  6. Step 6: Final answer
    x = 1,888,390,933.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.