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Finding the Third Proportional to 144,940,478.63 and 312,858,505.69

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Solution

The third proportional to 144,940,478.63 and 312,858,505.69 is: 675,314,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,940,478.63 : 312,858,505.69 = 312,858,505.69 : x
  2. Step 2: Convert to fraction form
    144,940,478.63/312,858,505.69 = 312,858,505.69/x
  3. Step 3: Cross multiply
    144,940,478.63x = 312,858,505.69 × 312,858,505.69
  4. Step 4: Simplify right side
    144,940,478.63x = 97,880,444,581,015,472
  5. Step 5: Solve for x
    x = 97,880,444,581,015,472/144,940,478.63
  6. Step 6: Final answer
    x = 675,314,760.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.