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Finding the Third Proportional to 229,386 and 316,970

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Solution

The third proportional to 229,386 and 316,970 is: 437,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,386 : 316,970 = 316,970 : x
  2. Step 2: Convert to fraction form
    229,386/316,970 = 316,970/x
  3. Step 3: Cross multiply
    229,386x = 316,970 × 316,970
  4. Step 4: Simplify right side
    229,386x = 100,469,980,900
  5. Step 5: Solve for x
    x = 100,469,980,900/229,386
  6. Step 6: Final answer
    x = 437,995.26

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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.