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Finding the Third Proportional to 214,880,140.13 and 460,395,640.13

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Solution

The third proportional to 214,880,140.13 and 460,395,640.13 is: 986,429,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,880,140.13 : 460,395,640.13 = 460,395,640.13 : x
  2. Step 2: Convert to fraction form
    214,880,140.13/460,395,640.13 = 460,395,640.13/x
  3. Step 3: Cross multiply
    214,880,140.13x = 460,395,640.13 × 460,395,640.13
  4. Step 4: Simplify right side
    214,880,140.13x = 211,964,145,446,108,512
  5. Step 5: Solve for x
    x = 211,964,145,446,108,512/214,880,140.13
  6. Step 6: Final answer
    x = 986,429,668.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.