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Finding the Third Proportional to 229,560 and 307,890

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Solution

The third proportional to 229,560 and 307,890 is: 412,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,560 : 307,890 = 307,890 : x
  2. Step 2: Convert to fraction form
    229,560/307,890 = 307,890/x
  3. Step 3: Cross multiply
    229,560x = 307,890 × 307,890
  4. Step 4: Simplify right side
    229,560x = 94,796,252,100
  5. Step 5: Solve for x
    x = 94,796,252,100/229,560
  6. Step 6: Final answer
    x = 412,947.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.