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Finding the Third Proportional to 223,470 and 319,230

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Solution

The third proportional to 223,470 and 319,230 is: 456,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,470 : 319,230 = 319,230 : x
  2. Step 2: Convert to fraction form
    223,470/319,230 = 319,230/x
  3. Step 3: Cross multiply
    223,470x = 319,230 × 319,230
  4. Step 4: Simplify right side
    223,470x = 101,907,792,900
  5. Step 5: Solve for x
    x = 101,907,792,900/223,470
  6. Step 6: Final answer
    x = 456,024.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.