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Finding the Third Proportional to 340,729,609 and 741,158,236.50

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Solution

The third proportional to 340,729,609 and 741,158,236.50 is: 1,612,174,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,729,609 : 741,158,236.50 = 741,158,236.50 : x
  2. Step 2: Convert to fraction form
    340,729,609/741,158,236.50 = 741,158,236.50/x
  3. Step 3: Cross multiply
    340,729,609x = 741,158,236.50 × 741,158,236.50
  4. Step 4: Simplify right side
    340,729,609x = 549,315,531,531,789,952
  5. Step 5: Solve for x
    x = 549,315,531,531,789,952/340,729,609
  6. Step 6: Final answer
    x = 1,612,174,337.13

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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.