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Finding the Third Proportional to 307,145,454.19 and 434,601,505.69

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Solution

The third proportional to 307,145,454.19 and 434,601,505.69 is: 614,947,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,145,454.19 : 434,601,505.69 = 434,601,505.69 : x
  2. Step 2: Convert to fraction form
    307,145,454.19/434,601,505.69 = 434,601,505.69/x
  3. Step 3: Cross multiply
    307,145,454.19x = 434,601,505.69 × 434,601,505.69
  4. Step 4: Simplify right side
    307,145,454.19x = 188,878,468,745,842,080
  5. Step 5: Solve for x
    x = 188,878,468,745,842,080/307,145,454.19
  6. Step 6: Final answer
    x = 614,947,954.37

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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.