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Finding the Third Proportional to 211,672 and 317,480

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Solution

The third proportional to 211,672 and 317,480 is: 476,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,672 : 317,480 = 317,480 : x
  2. Step 2: Convert to fraction form
    211,672/317,480 = 317,480/x
  3. Step 3: Cross multiply
    211,672x = 317,480 × 317,480
  4. Step 4: Simplify right side
    211,672x = 100,793,550,400
  5. Step 5: Solve for x
    x = 100,793,550,400/211,672
  6. Step 6: Final answer
    x = 476,178.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.