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Finding the Third Proportional to 642,624,457.25 and 1,399,333,672.85

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Solution

The third proportional to 642,624,457.25 and 1,399,333,672.85 is: 3,047,090,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,624,457.25 : 1,399,333,672.85 = 1,399,333,672.85 : x
  2. Step 2: Convert to fraction form
    642,624,457.25/1,399,333,672.85 = 1,399,333,672.85/x
  3. Step 3: Cross multiply
    642,624,457.25x = 1,399,333,672.85 × 1,399,333,672.85
  4. Step 4: Simplify right side
    642,624,457.25x = 1,958,134,727,978,307,584
  5. Step 5: Solve for x
    x = 1,958,134,727,978,307,584/642,624,457.25
  6. Step 6: Final answer
    x = 3,047,090,265.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.