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Finding the Third Proportional to 204,312 and 317,160

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Solution

The third proportional to 204,312 and 317,160 is: 492,337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,312 : 317,160 = 317,160 : x
  2. Step 2: Convert to fraction form
    204,312/317,160 = 317,160/x
  3. Step 3: Cross multiply
    204,312x = 317,160 × 317,160
  4. Step 4: Simplify right side
    204,312x = 100,590,465,600
  5. Step 5: Solve for x
    x = 100,590,465,600/204,312
  6. Step 6: Final answer
    x = 492,337.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.