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Finding the Third Proportional to 138,140 and 213,312

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Solution

The third proportional to 138,140 and 213,312 is: 329,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,140 : 213,312 = 213,312 : x
  2. Step 2: Convert to fraction form
    138,140/213,312 = 213,312/x
  3. Step 3: Cross multiply
    138,140x = 213,312 × 213,312
  4. Step 4: Simplify right side
    138,140x = 45,502,009,344
  5. Step 5: Solve for x
    x = 45,502,009,344/138,140
  6. Step 6: Final answer
    x = 329,390.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.