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Finding the Third Proportional to 319,520 and 423,984

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Solution

The third proportional to 319,520 and 423,984 is: 562,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,520 : 423,984 = 423,984 : x
  2. Step 2: Convert to fraction form
    319,520/423,984 = 423,984/x
  3. Step 3: Cross multiply
    319,520x = 423,984 × 423,984
  4. Step 4: Simplify right side
    319,520x = 179,762,432,256
  5. Step 5: Solve for x
    x = 179,762,432,256/319,520
  6. Step 6: Final answer
    x = 562,601.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.