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Finding the Third Proportional to 106,131,080 and 230,953,720

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Solution

The third proportional to 106,131,080 and 230,953,720 is: 502,582,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,131,080 : 230,953,720 = 230,953,720 : x
  2. Step 2: Convert to fraction form
    106,131,080/230,953,720 = 230,953,720/x
  3. Step 3: Cross multiply
    106,131,080x = 230,953,720 × 230,953,720
  4. Step 4: Simplify right side
    106,131,080x = 53,339,620,781,838,400
  5. Step 5: Solve for x
    x = 53,339,620,781,838,400/106,131,080
  6. Step 6: Final answer
    x = 502,582,474.26

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