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Finding the Third Proportional to 319,944 and 488,106

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Solution

The third proportional to 319,944 and 488,106 is: 744,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,944 : 488,106 = 488,106 : x
  2. Step 2: Convert to fraction form
    319,944/488,106 = 488,106/x
  3. Step 3: Cross multiply
    319,944x = 488,106 × 488,106
  4. Step 4: Simplify right side
    319,944x = 238,247,467,236
  5. Step 5: Solve for x
    x = 238,247,467,236/319,944
  6. Step 6: Final answer
    x = 744,653.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.