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Finding the Third Proportional to 319,739 and 492,732

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Solution

The third proportional to 319,739 and 492,732 is: 759,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,739 : 492,732 = 492,732 : x
  2. Step 2: Convert to fraction form
    319,739/492,732 = 492,732/x
  3. Step 3: Cross multiply
    319,739x = 492,732 × 492,732
  4. Step 4: Simplify right side
    319,739x = 242,784,823,824
  5. Step 5: Solve for x
    x = 242,784,823,824/319,739
  6. Step 6: Final answer
    x = 759,321.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.