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Finding the Third Proportional to 317,256 and 435,018

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Solution

The third proportional to 317,256 and 435,018 is: 596,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,256 : 435,018 = 435,018 : x
  2. Step 2: Convert to fraction form
    317,256/435,018 = 435,018/x
  3. Step 3: Cross multiply
    317,256x = 435,018 × 435,018
  4. Step 4: Simplify right side
    317,256x = 189,240,660,324
  5. Step 5: Solve for x
    x = 189,240,660,324/317,256
  6. Step 6: Final answer
    x = 596,491.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.