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Finding the Third Proportional to 234,257 and 513,658

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Solution

The third proportional to 234,257 and 513,658 is: 1,126,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,257 : 513,658 = 513,658 : x
  2. Step 2: Convert to fraction form
    234,257/513,658 = 513,658/x
  3. Step 3: Cross multiply
    234,257x = 513,658 × 513,658
  4. Step 4: Simplify right side
    234,257x = 263,844,540,964
  5. Step 5: Solve for x
    x = 263,844,540,964/234,257
  6. Step 6: Final answer
    x = 1,126,303.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.