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Finding the Third Proportional to 229,996 and 316,708

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Solution

The third proportional to 229,996 and 316,708 is: 436,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,996 : 316,708 = 316,708 : x
  2. Step 2: Convert to fraction form
    229,996/316,708 = 316,708/x
  3. Step 3: Cross multiply
    229,996x = 316,708 × 316,708
  4. Step 4: Simplify right side
    229,996x = 100,303,957,264
  5. Step 5: Solve for x
    x = 100,303,957,264/229,996
  6. Step 6: Final answer
    x = 436,111.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.