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Finding the Third Proportional to 241,312 and 317,328

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Solution

The third proportional to 241,312 and 317,328 is: 417,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,312 : 317,328 = 317,328 : x
  2. Step 2: Convert to fraction form
    241,312/317,328 = 317,328/x
  3. Step 3: Cross multiply
    241,312x = 317,328 × 317,328
  4. Step 4: Simplify right side
    241,312x = 100,697,059,584
  5. Step 5: Solve for x
    x = 100,697,059,584/241,312
  6. Step 6: Final answer
    x = 417,289.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.