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Finding the Third Proportional to 216,858 and 338,403

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Solution

The third proportional to 216,858 and 338,403 is: 528,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,858 : 338,403 = 338,403 : x
  2. Step 2: Convert to fraction form
    216,858/338,403 = 338,403/x
  3. Step 3: Cross multiply
    216,858x = 338,403 × 338,403
  4. Step 4: Simplify right side
    216,858x = 114,516,590,409
  5. Step 5: Solve for x
    x = 114,516,590,409/216,858
  6. Step 6: Final answer
    x = 528,071.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.