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Finding the Third Proportional to 140,342 and 310,222

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Solution

The third proportional to 140,342 and 310,222 is: 685,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,342 : 310,222 = 310,222 : x
  2. Step 2: Convert to fraction form
    140,342/310,222 = 310,222/x
  3. Step 3: Cross multiply
    140,342x = 310,222 × 310,222
  4. Step 4: Simplify right side
    140,342x = 96,237,689,284
  5. Step 5: Solve for x
    x = 96,237,689,284/140,342
  6. Step 6: Final answer
    x = 685,736.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.