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Finding the Third Proportional to 319,744 and 480,440

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Solution

The third proportional to 319,744 and 480,440 is: 721,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,744 : 480,440 = 480,440 : x
  2. Step 2: Convert to fraction form
    319,744/480,440 = 480,440/x
  3. Step 3: Cross multiply
    319,744x = 480,440 × 480,440
  4. Step 4: Simplify right side
    319,744x = 230,822,593,600
  5. Step 5: Solve for x
    x = 230,822,593,600/319,744
  6. Step 6: Final answer
    x = 721,898.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.