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Finding the Third Proportional to 218,312 and 326,120

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Solution

The third proportional to 218,312 and 326,120 is: 487,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,312 : 326,120 = 326,120 : x
  2. Step 2: Convert to fraction form
    218,312/326,120 = 326,120/x
  3. Step 3: Cross multiply
    218,312x = 326,120 × 326,120
  4. Step 4: Simplify right side
    218,312x = 106,354,254,400
  5. Step 5: Solve for x
    x = 106,354,254,400/218,312
  6. Step 6: Final answer
    x = 487,166.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.