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Finding the Third Proportional to 223,746 and 312,831

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Solution

The third proportional to 223,746 and 312,831 is: 437,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,746 : 312,831 = 312,831 : x
  2. Step 2: Convert to fraction form
    223,746/312,831 = 312,831/x
  3. Step 3: Cross multiply
    223,746x = 312,831 × 312,831
  4. Step 4: Simplify right side
    223,746x = 97,863,234,561
  5. Step 5: Solve for x
    x = 97,863,234,561/223,746
  6. Step 6: Final answer
    x = 437,385.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.