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Finding the Third Proportional to 229,240 and 316,746

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Solution

The third proportional to 229,240 and 316,746 is: 437,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,240 : 316,746 = 316,746 : x
  2. Step 2: Convert to fraction form
    229,240/316,746 = 316,746/x
  3. Step 3: Cross multiply
    229,240x = 316,746 × 316,746
  4. Step 4: Simplify right side
    229,240x = 100,328,028,516
  5. Step 5: Solve for x
    x = 100,328,028,516/229,240
  6. Step 6: Final answer
    x = 437,654.98

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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.